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Araki, Huzihiro

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Author ID: araki.huzihiro Recent zbMATH articles by "Araki, Huzihiro"
Published as: Araki, Huzihiro; Araki, H.
External Links: IdRef · MGP · Math-Net.Ru · Wikidata · GND
Documents Indexed: 137 Publications since 1954, including 15 Books
Reviewing Activity: 71 Reviews
Biographic References: 3 Publications

Publications by Year

Citations contained in zbMATH Open

100 Publications have been cited 1,886 times in 1,336 Documents Cited by Year
Relative entropy of states of von Neumann algebras. Zbl 0326.46031
Araki, Huzihiro
114
1976
On quasifree states of CAR and Bogoliubov automorphisms. Zbl 0227.46061
Araki, Huzihiro
96
1971
A classification of factors. Zbl 0206.12901
Araki, H.; Woods, E. J.
78
1968
Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule. Zbl 0287.46074
Araki, Huzihiro
77
1974
On an inequality of Lieb and Thirring. Zbl 0705.47020
Araki, Huzihiro
76
1990
Relative Hamiltonian for faithful normal states of a von Neumann algebra. Zbl 0273.46054
Araki, Huzihiro
75
1973
A lattice of von Neumann algebras associated with the quantum theory of a free Bose field. Zbl 0132.43805
Araki, H.
63
1963
Relative entropy for states of von Neumann algebras. II. Zbl 0374.46055
Araki, Huzihiro
59
1977
Von Neumann algebras of local observables for free scalar field. Zbl 0151.44401
Araki, H.
54
1964
Gibbs states of a one dimensional quantum lattice. Zbl 0199.28001
Araki, H.
52
1969
Hamiltonian formalism and the canonical commutation relations in quantum field theory. Zbl 0099.22906
Araki, H.
52
1960
A remark on Piron’s paper. Zbl 0177.16103
Amemiya, I.; Araki, H.
51
1966
Mathematical theory of quantum fields. Transl. from the Japanese by Ursula Carow-Watamura. Zbl 0998.81501
Araki, Huzihiro
46
1999
Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space. Zbl 0238.22014
Araki, Huzihiro
46
1970
On the algebra of all local observables. Zbl 0125.21904
Araki, H.
43
1964
Representations of canonical anticommutation relations. Zbl 0137.23903
Araki, H.; Wyss, W.
39
1964
Equilibrium statistical mechanics of fermion lattice systems. Zbl 1105.82003
Araki, Huzihiro; Moriya, Hajime
34
2003
On quasifree states of the canonical commutation relations. I. Zbl 0239.46066
Araki, Huzihiro; Shiraishi, Masafumi
31
1971
On uniqueness of KmMS states of one-dimensional quantum lattice systems. Zbl 0309.46054
Araki, Huzihiro
31
1975
An inequality for Hilbert-Schmidt norm. Zbl 0468.47013
Araki, Huzihiro; Yamagami, Shigeru
31
1981
Complete Boolean algebras of type I fa-tors. Zbl 0169.17601
Araki, H.; Woods, E. J.
30
1966
Positive cones and \(L^p\)-spaces for von Neumann algebras. Zbl 0505.46046
Araki, Huzihiro; Masuda, Tetsuya
29
1982
Ground states of the XY-model. Zbl 0581.46058
Araki, Huzihiro; Matsui, Taku
29
1985
Measurement of quantum mechanical operators. Zbl 0095.42502
Araki, Huzihiro; Yanase, Mutsuo M.
28
1960
Expansional in Banach algebras. Zbl 0257.46054
Araki, Huzihiro
27
1973
On the XY-model on two-sided infinite chain. Zbl 0544.46040
Araki, Huzihiro
25
1984
Golden-Thompson and Peierls-Bogolubov inequalities for a general von Neumann algebra. Zbl 0274.46048
Araki, Huzihiro
25
1973
Extension of the structure theorem of Borchers and its application to half-sided modular inclusions. Zbl 1088.46032
Araki, Huzihiro; Zsidó, László
24
2005
Type of von Neumann algebra associated with free field. Zbl 0132.43901
Araki, H.
23
1964
On quasifree states of the canonical commutation relations. II. Zbl 0239.46067
Araki, Huzihiro
22
1971
On a characterization of the state space of quantum mechanics. Zbl 0443.46046
Araki, Huzihiro
20
1980
Indecomposable representations with invariant inner product. A theory of the Gupta-Bleuler triplet. Zbl 0582.22017
Araki, Huzihiro
19
1985
On the equivalence of the KMS condition and the variational principle for quantum lattice systems. Zbl 0289.46048
Araki, Huzihiro
18
1974
On the diagonalization of a bilinear Hamiltonian by a Bogoliubov transformation. Zbl 0202.42101
Araki, H.
16
1968
On a \(C^*\)-algebra approach to phase transition in the two-dimensional Ising model. Zbl 0535.46046
Araki, Huzihiro; Evans, David E.
16
1983
Asymptotic time evolution of a partitioned infinite two-sided isotropic \(XY\)-chain. Zbl 1034.82008
Ho, T. G.; Araki, Huzihiro
15
2000
On the homotopical significance of the type of von Neumann algebra factors. Zbl 0211.44004
Araki, Huzihiro; Smith, Mi-Soo Bae; Smith, Larry
15
1971
Multiple time analyticity of a quantum statistical state satisfying the KMS boundary condition. Zbl 0195.28701
Araki, Huzihiro
15
1968
A remark on transition probability. Zbl 0515.46063
Araki, Huzihiro; Raggio, Guido A.
13
1982
Bures distance function and a generalization o f Sakai’s non-commutative Radon-Nikodym theorem. Zbl 0252.46075
Araki, Huzihiro
13
1972
On asymptotic behavior of vacuum expectation values at large space-like separation. Zbl 0098.43201
Araki, H.
13
1960
Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0614.46058
Araki, Huzihiro
12
1987
On a certain class of *-algebras of unbounded operators. Zbl 0511.47029
Araki, Huzihiro; Jurzak, Jean Paul
12
1982
A remark on Machida-Namiki theory of measurement. Zbl 1097.81503
Araki, Huzihiro
11
1980
Joint extension of states of subsystems for a CAR system. Zbl 1041.46038
Araki, Huzihiro; Moriya, Hajime
10
2003
On the dynamics and ergodic properties of the XY model. Zbl 0591.58019
Araki, Huzihiro; Barouch, Eytan
10
1983
On quasi-equivalence of quasifree states of the canonical commutation relations. Zbl 0505.46052
Araki, Huzihiro; Yamagami, Shigeru
10
1982
Structure of some von Neumann algebras with isolated discrete modular spectrum. Zbl 0269.46048
Araki, Huzihiro
10
1973
On weak time-symmetric gravitational waves. Zbl 0087.23002
Araki, Huzihiro
10
1959
Properties of the momentum space analytic function. Zbl 0098.43105
Araki, H.; Burgoyne, N.
10
1960
Asymptotic ratio set and property \(L_ \lambda^ \prime\). Zbl 0231.46100
Araki, Huzihiro
10
1971
Jensen’s operator inequality for functions of several variables. Zbl 0956.47009
Araki, Huzihiro; Hansen, Frank
9
2000
Remarks on spectra of modular operators of von Neumann algebras. Zbl 0245.46093
Araki, Huzihiro
9
1972
On the definition of \(C^*\)-algebras. Zbl 0272.46033
Araki, Huzihiro; Elliott, George A.
9
1973
On KMS boundary condition. Zbl 0195.28702
Araki, Huzihiro; Miyata, Hideo
9
1968
On \({\mathcal O}_{n+1}\). Zbl 0562.46033
Araki, H.; Carey, A. L.; Evans, D. E.
8
1984
On the connection of spin and commutation relations between different fields. Zbl 0119.43901
Araki, Huzihiro
8
1961
Conditional expectations relative to a product state and the corresponding standard potentials. Zbl 1092.82006
Araki, Huzihiro
7
2004
Symmetry and equilibrium states. Zbl 0341.46043
Araki, Huzihiro; Kishimoto, Akitaka
7
1977
Local thermodynamical stability of Fermion lattice systems. Zbl 1024.82002
Araki, Huzihiro; Moriya, Hajime
7
2002
Quantum field theory of unstable particles. Zbl 0077.43202
Araki, Huzihiro; Munakata, Yasuo; Kawaguchi, Masaaki; Goto, Tetsuo
7
1957
On the asymptotic behaviour of Wightman functions in space-like directions. Zbl 0161.23503
Araki, H.; Hepp, K.; Ruelle, D.
7
1962
Mathematical theory of quantum fields. Reprint of the 1999 hardback ed. Zbl 1170.81001
Araki, Huzihiro
7
2009
Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0618.46057
Araki, Huzihiro
6
1987
A classification of factors. II. Zbl 0198.17803
Araki, H.
6
1969
Positive cone, Radon-Nikodym theorems, relative Hamiltonian and the Gibbs condition in statistical mechanics, an application of the Tomita-Takesaki theory. Zbl 0392.46043
Araki, H.
6
1976
Symmetries in theory of local observables and the choice of the net of local algebras. Zbl 0774.46040
Araki, Huzihiro
6
1992
On representations of the canonical commutation relations. Zbl 0203.57101
Araki, H.
5
1971
On a pathology in indefinite metric inner product space. Zbl 0505.47028
Araki, Huzihiro
5
1982
A generalization of Borchers theorem. Zbl 0112.43203
Araki, H.
5
1963
Analyticity of ground states of the XY-model. Zbl 0591.58018
Araki, Huzihiro; Matsui, Taku
4
1986
An application of Dye’s theorem on projection lattices to orthogonally decomposable isomorphisms. Zbl 0696.46044
Araki, Huzihiro
4
1989
Master symmetries of the XY model. Zbl 0718.46049
Araki, Huzihiro
4
1990
Normal positive linear mappings of norm 1 from a von Neumann algebra into its commutant and its application. Zbl 0255.46050
Araki, Huzihiro
4
1973
The determination of a local or almost local field from a given current. Zbl 0149.46405
Araki, Huzihiro; Haag, Rudolf; Schroer, Bert
4
1961
Addenda: Complete Boolean algebras of type I factors. Zbl 0169.17602
Araki, H.; Woods, E. J.
4
1966
Operator algebras and their connections with topology and ergodic theory. Proceedings of the OATE Conference held in Buşteni, Romania, August 29 - September 9, 1983. With the assistance of Gr. Arsene. Zbl 0562.00005
Araki, H. (ed.); Moore, C. C. (ed.); Strătilă, Ş. (ed.); Voiculescu, D. (ed.)
3
1985
A remark on an infinite tensor product of von Neumann algebras. Zbl 0257.46097
Araki, Huzihiro; Nakagami, Yoshiomi
3
1972
Topologies induced by representations of the canonical commutation relations. Zbl 0258.46051
Araki, H.; Woods, E. J.
3
1973
International symposium on mathematical problems in theoretical physics, January 23-29, 1975, Kyoto University, Kyoto/Japan. Zbl 0309.00009
Araki, H. (ed.)
3
1975
Standard potentials for non-even dynamics. Zbl 1113.82037
Araki, Huzihiro
3
2006
Analyticity of correlation functions for the two-dimensional Ising model. Zbl 0613.60095
Araki, Huzihiro
2
1986
Positive cones for von Neumann algebras. Zbl 0498.46046
Araki, Huzihiro
2
1982
One-parameter family of Radon-Nikodym theorems for states of a von Neumann algebra. Zbl 0296.46065
Araki, Huzihiro
2
1974
On clustering property. Zbl 0342.46048
Araki, Huzihiro; Kishimoto, Akitaka
2
1976
Recent developments in the theory of operator algebras and their significance in theoretical physics. Zbl 0369.46064
Araki, Huzihiro
2
1976
Quantum-electrodynamical corrections to energy-levels of helium. Zbl 0077.44303
Araki, Huzihiro
2
1957
A remark on Bures distance function for normal states. Zbl 0225.46065
Araki, Huzihiro
2
1971
Some infinite-dimensional algebras arising in spin systems and in particle physics and their grand algebra. Zbl 0974.17030
Araki, Huzihiro; Flato, Moshé; Michéa, Sébastien; Sternheimer, Daniel
1
1998
Operator algebra approach to soluble models of quantum spin lattice systems. Zbl 0841.46057
Araki, Huzihiro
1
1993
A remark on a connection of return to equilibrium and multiple ground states in some perturbed \(XY\)-model. Zbl 0942.82506
Araki, Huzihiro
1
1994
Theory of von Neumann algebras and quantum statistical mechanics. Zbl 0505.46053
Araki, H.
1
1982
Some contact points of mathematics and physics. Zbl 0515.46062
Araki, Huzihiro
1
1983
Selfadjointness and positivity of a certain partial differential operator associated with the Kerr metric in general relativity. Zbl 0705.47039
Araki, Huzihiro
1
1989
Some of the legacy of John von Neumann in physics: Theory of measurement, quantum logic, and von Neumann algebras in physics. Zbl 0707.46049
Araki, Huzihiro
1
1990
One dimensional quantum lattice system. Zbl 0239.46068
Araki, Huzihiro
1
1971
On KMS states of a \(C^*\) dynamical system. Zbl 0389.46054
Araki, Huzihiro
1
1978
Some topics in quantum statistical mechanics. Zbl 0434.46049
Araki, Huzihiro
1
1980
Wightman functions, retarded functions and their analytic continuations. Zbl 0108.42101
Araki, H.
1
1961
Super-derivations and associated standard super-potentials. Zbl 1134.82002
Araki, H.
1
2007
Mathematical theory of quantum fields. Reprint of the 1999 hardback ed. Zbl 1170.81001
Araki, Huzihiro
7
2009
Super-derivations and associated standard super-potentials. Zbl 1134.82002
Araki, H.
1
2007
Standard potentials for non-even dynamics. Zbl 1113.82037
Araki, Huzihiro
3
2006
Extension of the structure theorem of Borchers and its application to half-sided modular inclusions. Zbl 1088.46032
Araki, Huzihiro; Zsidó, László
24
2005
Conditional expectations relative to a product state and the corresponding standard potentials. Zbl 1092.82006
Araki, Huzihiro
7
2004
Equilibrium statistical mechanics of fermion lattice systems. Zbl 1105.82003
Araki, Huzihiro; Moriya, Hajime
34
2003
Joint extension of states of subsystems for a CAR system. Zbl 1041.46038
Araki, Huzihiro; Moriya, Hajime
10
2003
Local thermodynamical stability of Fermion lattice systems. Zbl 1024.82002
Araki, Huzihiro; Moriya, Hajime
7
2002
Asymptotic time evolution of a partitioned infinite two-sided isotropic \(XY\)-chain. Zbl 1034.82008
Ho, T. G.; Araki, Huzihiro
15
2000
Jensen’s operator inequality for functions of several variables. Zbl 0956.47009
Araki, Huzihiro; Hansen, Frank
9
2000
Mathematical theory of quantum fields. Transl. from the Japanese by Ursula Carow-Watamura. Zbl 0998.81501
Araki, Huzihiro
46
1999
Some infinite-dimensional algebras arising in spin systems and in particle physics and their grand algebra. Zbl 0974.17030
Araki, Huzihiro; Flato, Moshé; Michéa, Sébastien; Sternheimer, Daniel
1
1998
A remark on a connection of return to equilibrium and multiple ground states in some perturbed \(XY\)-model. Zbl 0942.82506
Araki, Huzihiro
1
1994
Operator algebra approach to soluble models of quantum spin lattice systems. Zbl 0841.46057
Araki, Huzihiro
1
1993
Symmetries in theory of local observables and the choice of the net of local algebras. Zbl 0774.46040
Araki, Huzihiro
6
1992
On an inequality of Lieb and Thirring. Zbl 0705.47020
Araki, Huzihiro
76
1990
Master symmetries of the XY model. Zbl 0718.46049
Araki, Huzihiro
4
1990
Some of the legacy of John von Neumann in physics: Theory of measurement, quantum logic, and von Neumann algebras in physics. Zbl 0707.46049
Araki, Huzihiro
1
1990
An application of Dye’s theorem on projection lattices to orthogonally decomposable isomorphisms. Zbl 0696.46044
Araki, Huzihiro
4
1989
Selfadjointness and positivity of a certain partial differential operator associated with the Kerr metric in general relativity. Zbl 0705.47039
Araki, Huzihiro
1
1989
Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0614.46058
Araki, Huzihiro
12
1987
Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0618.46057
Araki, Huzihiro
6
1987
Analyticity of ground states of the XY-model. Zbl 0591.58018
Araki, Huzihiro; Matsui, Taku
4
1986
Analyticity of correlation functions for the two-dimensional Ising model. Zbl 0613.60095
Araki, Huzihiro
2
1986
Ground states of the XY-model. Zbl 0581.46058
Araki, Huzihiro; Matsui, Taku
29
1985
Indecomposable representations with invariant inner product. A theory of the Gupta-Bleuler triplet. Zbl 0582.22017
Araki, Huzihiro
19
1985
Operator algebras and their connections with topology and ergodic theory. Proceedings of the OATE Conference held in Buşteni, Romania, August 29 - September 9, 1983. With the assistance of Gr. Arsene. Zbl 0562.00005
Araki, H.; Moore, C. C.; Strătilă, Ş.; Voiculescu, D.
3
1985
On the XY-model on two-sided infinite chain. Zbl 0544.46040
Araki, Huzihiro
25
1984
On \({\mathcal O}_{n+1}\). Zbl 0562.46033
Araki, H.; Carey, A. L.; Evans, D. E.
8
1984
On a \(C^*\)-algebra approach to phase transition in the two-dimensional Ising model. Zbl 0535.46046
Araki, Huzihiro; Evans, David E.
16
1983
On the dynamics and ergodic properties of the XY model. Zbl 0591.58019
Araki, Huzihiro; Barouch, Eytan
10
1983
Some contact points of mathematics and physics. Zbl 0515.46062
Araki, Huzihiro
1
1983
Positive cones and \(L^p\)-spaces for von Neumann algebras. Zbl 0505.46046
Araki, Huzihiro; Masuda, Tetsuya
29
1982
A remark on transition probability. Zbl 0515.46063
Araki, Huzihiro; Raggio, Guido A.
13
1982
On a certain class of *-algebras of unbounded operators. Zbl 0511.47029
Araki, Huzihiro; Jurzak, Jean Paul
12
1982
On quasi-equivalence of quasifree states of the canonical commutation relations. Zbl 0505.46052
Araki, Huzihiro; Yamagami, Shigeru
10
1982
On a pathology in indefinite metric inner product space. Zbl 0505.47028
Araki, Huzihiro
5
1982
Positive cones for von Neumann algebras. Zbl 0498.46046
Araki, Huzihiro
2
1982
Theory of von Neumann algebras and quantum statistical mechanics. Zbl 0505.46053
Araki, H.
1
1982
An inequality for Hilbert-Schmidt norm. Zbl 0468.47013
Araki, Huzihiro; Yamagami, Shigeru
31
1981
On a characterization of the state space of quantum mechanics. Zbl 0443.46046
Araki, Huzihiro
20
1980
A remark on Machida-Namiki theory of measurement. Zbl 1097.81503
Araki, Huzihiro
11
1980
Some topics in quantum statistical mechanics. Zbl 0434.46049
Araki, Huzihiro
1
1980
On KMS states of a \(C^*\) dynamical system. Zbl 0389.46054
Araki, Huzihiro
1
1978
Relative entropy for states of von Neumann algebras. II. Zbl 0374.46055
Araki, Huzihiro
59
1977
Symmetry and equilibrium states. Zbl 0341.46043
Araki, Huzihiro; Kishimoto, Akitaka
7
1977
Relative entropy of states of von Neumann algebras. Zbl 0326.46031
Araki, Huzihiro
114
1976
Positive cone, Radon-Nikodym theorems, relative Hamiltonian and the Gibbs condition in statistical mechanics, an application of the Tomita-Takesaki theory. Zbl 0392.46043
Araki, H.
6
1976
On clustering property. Zbl 0342.46048
Araki, Huzihiro; Kishimoto, Akitaka
2
1976
Recent developments in the theory of operator algebras and their significance in theoretical physics. Zbl 0369.46064
Araki, Huzihiro
2
1976
On uniqueness of KmMS states of one-dimensional quantum lattice systems. Zbl 0309.46054
Araki, Huzihiro
31
1975
International symposium on mathematical problems in theoretical physics, January 23-29, 1975, Kyoto University, Kyoto/Japan. Zbl 0309.00009
Araki, H.
3
1975
Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule. Zbl 0287.46074
Araki, Huzihiro
77
1974
On the equivalence of the KMS condition and the variational principle for quantum lattice systems. Zbl 0289.46048
Araki, Huzihiro
18
1974
One-parameter family of Radon-Nikodym theorems for states of a von Neumann algebra. Zbl 0296.46065
Araki, Huzihiro
2
1974
Relative Hamiltonian for faithful normal states of a von Neumann algebra. Zbl 0273.46054
Araki, Huzihiro
75
1973
Expansional in Banach algebras. Zbl 0257.46054
Araki, Huzihiro
27
1973
Golden-Thompson and Peierls-Bogolubov inequalities for a general von Neumann algebra. Zbl 0274.46048
Araki, Huzihiro
25
1973
Structure of some von Neumann algebras with isolated discrete modular spectrum. Zbl 0269.46048
Araki, Huzihiro
10
1973
On the definition of \(C^*\)-algebras. Zbl 0272.46033
Araki, Huzihiro; Elliott, George A.
9
1973
Normal positive linear mappings of norm 1 from a von Neumann algebra into its commutant and its application. Zbl 0255.46050
Araki, Huzihiro
4
1973
Topologies induced by representations of the canonical commutation relations. Zbl 0258.46051
Araki, H.; Woods, E. J.
3
1973
Bures distance function and a generalization o f Sakai’s non-commutative Radon-Nikodym theorem. Zbl 0252.46075
Araki, Huzihiro
13
1972
Remarks on spectra of modular operators of von Neumann algebras. Zbl 0245.46093
Araki, Huzihiro
9
1972
A remark on an infinite tensor product of von Neumann algebras. Zbl 0257.46097
Araki, Huzihiro; Nakagami, Yoshiomi
3
1972
On quasifree states of CAR and Bogoliubov automorphisms. Zbl 0227.46061
Araki, Huzihiro
96
1971
On quasifree states of the canonical commutation relations. I. Zbl 0239.46066
Araki, Huzihiro; Shiraishi, Masafumi
31
1971
On quasifree states of the canonical commutation relations. II. Zbl 0239.46067
Araki, Huzihiro
22
1971
On the homotopical significance of the type of von Neumann algebra factors. Zbl 0211.44004
Araki, Huzihiro; Smith, Mi-Soo Bae; Smith, Larry
15
1971
Asymptotic ratio set and property \(L_ \lambda^ \prime\). Zbl 0231.46100
Araki, Huzihiro
10
1971
On representations of the canonical commutation relations. Zbl 0203.57101
Araki, H.
5
1971
A remark on Bures distance function for normal states. Zbl 0225.46065
Araki, Huzihiro
2
1971
One dimensional quantum lattice system. Zbl 0239.46068
Araki, Huzihiro
1
1971
Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space. Zbl 0238.22014
Araki, Huzihiro
46
1970
Gibbs states of a one dimensional quantum lattice. Zbl 0199.28001
Araki, H.
52
1969
A classification of factors. II. Zbl 0198.17803
Araki, H.
6
1969
A classification of factors. Zbl 0206.12901
Araki, H.; Woods, E. J.
78
1968
On the diagonalization of a bilinear Hamiltonian by a Bogoliubov transformation. Zbl 0202.42101
Araki, H.
16
1968
Multiple time analyticity of a quantum statistical state satisfying the KMS boundary condition. Zbl 0195.28701
Araki, Huzihiro
15
1968
On KMS boundary condition. Zbl 0195.28702
Araki, Huzihiro; Miyata, Hideo
9
1968
A remark on Piron’s paper. Zbl 0177.16103
Amemiya, I.; Araki, H.
51
1966
Complete Boolean algebras of type I fa-tors. Zbl 0169.17601
Araki, H.; Woods, E. J.
30
1966
Addenda: Complete Boolean algebras of type I factors. Zbl 0169.17602
Araki, H.; Woods, E. J.
4
1966
Von Neumann algebras of local observables for free scalar field. Zbl 0151.44401
Araki, H.
54
1964
On the algebra of all local observables. Zbl 0125.21904
Araki, H.
43
1964
Representations of canonical anticommutation relations. Zbl 0137.23903
Araki, H.; Wyss, W.
39
1964
Type of von Neumann algebra associated with free field. Zbl 0132.43901
Araki, H.
23
1964
A lattice of von Neumann algebras associated with the quantum theory of a free Bose field. Zbl 0132.43805
Araki, H.
63
1963
A generalization of Borchers theorem. Zbl 0112.43203
Araki, H.
5
1963
On the asymptotic behaviour of Wightman functions in space-like directions. Zbl 0161.23503
Araki, H.; Hepp, K.; Ruelle, D.
7
1962
On the connection of spin and commutation relations between different fields. Zbl 0119.43901
Araki, Huzihiro
8
1961
The determination of a local or almost local field from a given current. Zbl 0149.46405
Araki, Huzihiro; Haag, Rudolf; Schroer, Bert
4
1961
Wightman functions, retarded functions and their analytic continuations. Zbl 0108.42101
Araki, H.
1
1961
Hamiltonian formalism and the canonical commutation relations in quantum field theory. Zbl 0099.22906
Araki, H.
52
1960
Measurement of quantum mechanical operators. Zbl 0095.42502
Araki, Huzihiro; Yanase, Mutsuo M.
28
1960
On asymptotic behavior of vacuum expectation values at large space-like separation. Zbl 0098.43201
Araki, H.
13
1960
Properties of the momentum space analytic function. Zbl 0098.43105
Araki, H.; Burgoyne, N.
10
1960
On weak time-symmetric gravitational waves. Zbl 0087.23002
Araki, Huzihiro
10
1959
Quantum field theory of unstable particles. Zbl 0077.43202
Araki, Huzihiro; Munakata, Yasuo; Kawaguchi, Masaaki; Goto, Tetsuo
7
1957
Quantum-electrodynamical corrections to energy-levels of helium. Zbl 0077.44303
Araki, Huzihiro
2
1957
all top 5

Cited by 1,099 Authors

33 Araki, Huzihiro
31 Hiai, Fumio
28 Longo, Roberto
26 Petz, Dénes
18 Buchholz, Detlev
15 Carey, Alan L.
15 Matsui, Taku
15 Summers, Stephen Jeffrey
14 Pillet, Claude-Alain
14 Werner, Reinhard F.
13 Connes, Alain
12 Albeverio, Sergio A.
12 Bru, Jean-Bernard
12 Merkli, Marco
12 Ohya, Masanori
11 Evans, David E.
11 Fredenhagen, Klaus
11 Jakšić, Vojkan
11 Jørgensen, Palle E. T.
11 Kosaki, Hideki
10 Doplicher, Sergio
10 Narnhofer, Heide
10 Park, Yong Moon
10 Streater, Raymond F.
10 Vershik, Anatoliĭ Moiseevich
9 Bratteli, Ola
9 Dvurečenskij, Anatolij
9 Fröhlich, Jürg Martin
9 Kishimoto, Akitaka
9 Kittaneh, Fuad
9 Klauder, John Rider
9 Neeb, Karl-Hermann
9 Ogata, Yoshiko
9 Robinson, Derek W.
9 Tanimoto, Yoh
9 Yamagami, Shigeru
8 Accardi, Luigi
8 Borchers, Hans-Jürgen
8 Dybalski, Wojciech
8 Fidaleo, Francesco
8 Graev, Mark Iosifovich
8 Mukhamedov, Farruh Maksutovich
8 Størmer, Erling
8 Takesaki, Masamichi
8 Tomamichel, Marco
8 Watanabe, Noboru
8 Wichmann, Eyvind H.
7 Bruneau, Laurent
7 Chetcuti, Emmanuel
7 Golodets, Valentin Yakovlevich
7 Haagerup, Uffe Valentin
7 Hansen, Frank-Peter
7 Høegh-Krohn, Raphael J.
7 Lechner, Gandalf
7 Lieb, Elliott H.
7 Nakagami, Yoshiomi
7 Olkiewicz, Robert
7 Pinamonti, Nicola
6 Berta, Mario
6 Buhagiar, David
6 Carlen, Eric Anders
6 D’Antoni, Claudio
6 Dappiaggi, Claudio
6 Drago, Nicolò
6 Gérard, Christian
6 Hollands, Stefan
6 Joye, Alain
6 Junge, Marius
6 Moretti, Valter
6 Moriya, Hajime
6 Mosonyi, Milán
6 Schroer, Bert
6 Streit, Ludwig
6 Thirring, Walter E.
6 Verch, Rainer
5 Aschbacher, Walter H.
5 Barnum, Howard
5 Belavkin, Viacheslav
5 Bhatia, Rajendra
5 Driessler, Wulf
5 Faulkner, Thomas
5 Fewster, Christopher John
5 Guido, Daniele
5 Hegerfeldt, Gerhard C.
5 Jäkel, Christian D.
5 Kawamura, Katsunori
5 Morinelli, Vincenzo
5 Ozawa, Masanao
5 Pedersen, Gert Kjærgård
5 Raggio, Guido A.
5 Roberts, John Elias
5 Ruskai, Mary Beth
5 Ruzzi, Giuseppe
5 Seo, Yuki
5 Souissi, Abdessatar
5 Turilova, Ekaterina A.
5 Vasselli, Ezio
5 Weber, Hans Josef Karl
4 Ando, Hiroshi
4 Bach, Volker
...and 999 more Authors
all top 5

Cited in 170 Serials

257 Communications in Mathematical Physics
145 Journal of Mathematical Physics
77 Journal of Functional Analysis
60 Letters in Mathematical Physics
55 Reviews in Mathematical Physics
53 Publications of the Research Institute for Mathematical Sciences, Kyoto University
35 Journal of Statistical Physics
33 Linear Algebra and its Applications
33 Annales Henri Poincaré
29 International Journal of Theoretical Physics
27 Journal of High Energy Physics
21 Infinite Dimensional Analysis, Quantum Probability and Related Topics
19 Foundations of Physics
18 Annales de l’Institut Henri Poincaré. Physique Théorique
16 Proceedings of the American Mathematical Society
15 Transactions of the American Mathematical Society
14 Functional Analysis and its Applications
13 Journal of Mathematical Analysis and Applications
12 Theoretical and Mathematical Physics
11 Reports on Mathematical Physics
11 Journal of Geometry and Physics
10 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
9 Open Systems & Information Dynamics
9 Il Nuovo Cimento, X. Series, A
9 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
8 Advances in Mathematics
8 Journal of Soviet Mathematics
8 Mathematische Annalen
8 International Journal of Mathematics
7 Il Nuovo Cimento, X. Series
6 Linear and Multilinear Algebra
6 Annales de l’Institut Fourier
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Physics Reports
5 Ukrainian Mathematical Journal
5 Acta Mathematica
5 Quantum Information Processing
5 Physical Review, II. Series
5 Journal of Noncommutative Geometry
4 General Relativity and Gravitation
4 Nuclear Physics. B
4 Reviews of Modern Physics
4 Inventiones Mathematicae
4 Mathematische Nachrichten
4 Mathematische Zeitschrift
4 Tohoku Mathematical Journal. Second Series
4 Acta Applicandae Mathematicae
4 Probability Theory and Related Fields
4 Expositiones Mathematicae
4 New Journal of Physics
4 International Journal of Quantum Information
4 Bulletin of the American Mathematical Society
4 Proceedings of the Japan Academy
4 Journal of Physics A: Mathematical and Theoretical
3 Communications on Pure and Applied Mathematics
3 Israel Journal of Mathematics
3 Rocky Mountain Journal of Mathematics
3 The Annals of Probability
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Bulletin de la Société Mathématique de France
3 Integral Equations and Operator Theory
3 Rendiconti del Seminario Matemàtico e Fisico di Milano
3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
3 Ergodic Theory and Dynamical Systems
3 Acta Mathematica Hungarica
3 Sugaku Expositions
3 Algebras and Representation Theory
3 Acta Mathematica Sinica. English Series
3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Advances in Operator Theory
2 International Journal of Modern Physics B
2 Indian Journal of Pure & Applied Mathematics
2 Mathematical Notes
2 Studia Mathematica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Archiv der Mathematik
2 Compositio Mathematica
2 Czechoslovak Mathematical Journal
2 Duke Mathematical Journal
2 Journal of Algebra
2 Journal of Multivariate Analysis
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Mathematica Slovaca
2 Memoirs of the American Mathematical Society
2 Order
2 Annals of Physics
2 Bulletin of the American Mathematical Society. New Series
2 Russian Journal of Mathematical Physics
2 Journal of Mathematical Sciences (New York)
2 Positivity
2 Erkenntnis
2 Lobachevskii Journal of Mathematics
2 Physical Review Letters
2 Journal of Statistical Mechanics: Theory and Experiment
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Proceedings of the Steklov Institute of Mathematics
2 Operators and Matrices
2 Kyoto Journal of Mathematics
2 Publications of the Research Institute for Mathematical Sciences, Series A
...and 70 more Serials
all top 5

Cited in 53 Fields

659 Functional analysis (46-XX)
624 Quantum theory (81-XX)
232 Operator theory (47-XX)
232 Statistical mechanics, structure of matter (82-XX)
99 Probability theory and stochastic processes (60-XX)
78 Topological groups, Lie groups (22-XX)
73 Information and communication theory, circuits (94-XX)
70 Linear and multilinear algebra; matrix theory (15-XX)
54 Relativity and gravitational theory (83-XX)
35 Differential geometry (53-XX)
34 Global analysis, analysis on manifolds (58-XX)
28 Nonassociative rings and algebras (17-XX)
28 Partial differential equations (35-XX)
26 Mathematical logic and foundations (03-XX)
25 Dynamical systems and ergodic theory (37-XX)
24 Measure and integration (28-XX)
19 Order, lattices, ordered algebraic structures (06-XX)
19 Associative rings and algebras (16-XX)
18 Abstract harmonic analysis (43-XX)
15 Statistics (62-XX)
12 Group theory and generalizations (20-XX)
8 Real functions (26-XX)
7 Number theory (11-XX)
7 Mechanics of particles and systems (70-XX)
6 Category theory; homological algebra (18-XX)
6 Functions of a complex variable (30-XX)
6 General topology (54-XX)
5 Combinatorics (05-XX)
5 Manifolds and cell complexes (57-XX)
5 Numerical analysis (65-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Algebraic geometry (14-XX)
4 Potential theory (31-XX)
4 Geometry (51-XX)
4 Computer science (68-XX)
4 Optics, electromagnetic theory (78-XX)
3 \(K\)-theory (19-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 Special functions (33-XX)
2 Algebraic topology (55-XX)
1 General algebraic systems (08-XX)
1 Commutative algebra (13-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Fluid mechanics (76-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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