# zbMATH — the first resource for mathematics

## Kvaratskhelia, Vakhtang V.

Compute Distance To:
 Author ID: kvaratskhelia.vakhtang-v Published as: Kvaratskhelia, V.; Kvaratskhelia, Vakhtang; Kvaratskhelia, V. V.; Kvaratskheliya, V. V. Homepage: http://tcms.org.ge/kvaratskhelia-vakhtang/ External Links: Math-Net.Ru
 Documents Indexed: 28 Publications since 1979 Reviewing Activity: 129 Reviews
all top 5

#### Co-Authors

 9 single-authored 11 Vakhania, Nicholas N. 7 Tarieladze, Vasha I. 3 Giorgobiani, Giorgi 2 Chobanyan, Sergei 1 Chelidze, George Z. 1 Figula, Ágota 1 Kandelaki, N. P. 1 Levental, Shlomo
all top 5

#### Serials

 7 Bulletin of the Georgian Academy of Sciences 3 Theory of Probability and its Applications 3 Journal of Mathematical Sciences (New York) 3 Proceedings of A. Razmadze Mathematical Institute 2 Georgian Mathematical Journal 2 Bulletin of the Georgian National Academy of Sciences. New Series 1 Periodica Mathematica Hungarica 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Demonstratio Mathematica 1 Functional Analysis and its Applications 1 Publicationes Mathematicae 1 Discrete Mathematics and Applications
all top 5

#### Fields

 15 Functional analysis (46-XX) 11 Probability theory and stochastic processes (60-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Operator theory (47-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Sequences, series, summability (40-XX) 1 Combinatorics (05-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

15 Publications have been cited 20 times in 7 Documents Cited by Year
Absolute and unconditional convergence in $$l_ 1$$. Zbl 1034.46012
Vakhania, N.; Kvaratskhelia, V.
1999
Convergence of Sylvester series in Banach spaces $$l_ p, 1\leq p<\infty$$. Zbl 1034.46013
Vakhania, N.; Kvaratskhelia, V.
2001
On a criterion for unconditional convergence of Hadamard series in the spaces $$l_p, 1\leq p<\infty$$. Zbl 1007.46009
Vakhania, N.; Kvaratskhelia, V.
2000
Weakly sub-Gaussian random elements in Banach spaces. Zbl 1093.60005
Vakhaniya, N. N.; Kvaratskheliya, V. V.; Tarieladze, V. I.
2005
Unconditional convergence of functional series in problems of probability theory. Zbl 1358.60006
Kvaratskhelia, V. V.
2014
Unconditional convergence of random series and the geometry of Banach spaces. Zbl 0965.60015
Kvaratskhelia, V.
2000
The structure of summable sequences and $$p$$-summing operators. Zbl 0960.46010
2000
Some inequalities related to Hadamard matrices. Zbl 1032.46012
Kvaratskhelia, V. V.
2002
Some inequalities related with Hadamard and Sylvester matrices. Zbl 1033.46014
Kvaratskhelia, V.
2001
Greedy algorithm fails in compact vector summation. Zbl 1234.90023
Chelidze, George; Chobanyan, Sergei; Giorgobiani, George; Kvaratskhelia, Vakhtang
2010
Some numerical characteristics of Sylvester and Hadamard matrices. Zbl 1374.15033
Figula, Ágota; Kvaratskhelia, Vakhtang
2015
On unconditional convergence of random series in Banach spaces. Zbl 0444.60009
Kvaratskhelia, V. V.
1980
On rearrangement theorems in Banach spaces. Zbl 1297.46012
Chobanyan, Sergei; Giorgobiani, George; Kvaratskhelia, Vakhtang; Levental, Shlomo; Tarieladze, Vaja
2014
On unconditional convergence of series in Banach spaces with unconditional basis. Zbl 1191.46019
Vakhania, Nikoloz; Kvaratskhelia, Vakhtang
2009
A numerical characteristic of the Sylvester matrix. Zbl 1056.15026
Kvaratskhelia, V. V.
2001
Some numerical characteristics of Sylvester and Hadamard matrices. Zbl 1374.15033
Figula, Ágota; Kvaratskhelia, Vakhtang
2015
Unconditional convergence of functional series in problems of probability theory. Zbl 1358.60006
Kvaratskhelia, V. V.
2014
On rearrangement theorems in Banach spaces. Zbl 1297.46012
Chobanyan, Sergei; Giorgobiani, George; Kvaratskhelia, Vakhtang; Levental, Shlomo; Tarieladze, Vaja
2014
Greedy algorithm fails in compact vector summation. Zbl 1234.90023
Chelidze, George; Chobanyan, Sergei; Giorgobiani, George; Kvaratskhelia, Vakhtang
2010
On unconditional convergence of series in Banach spaces with unconditional basis. Zbl 1191.46019
Vakhania, Nikoloz; Kvaratskhelia, Vakhtang
2009
Weakly sub-Gaussian random elements in Banach spaces. Zbl 1093.60005
Vakhaniya, N. N.; Kvaratskheliya, V. V.; Tarieladze, V. I.
2005
Some inequalities related to Hadamard matrices. Zbl 1032.46012
Kvaratskhelia, V. V.
2002
Convergence of Sylvester series in Banach spaces $$l_ p, 1\leq p<\infty$$. Zbl 1034.46013
Vakhania, N.; Kvaratskhelia, V.
2001
Some inequalities related with Hadamard and Sylvester matrices. Zbl 1033.46014
Kvaratskhelia, V.
2001
A numerical characteristic of the Sylvester matrix. Zbl 1056.15026
Kvaratskhelia, V. V.
2001
On a criterion for unconditional convergence of Hadamard series in the spaces $$l_p, 1\leq p<\infty$$. Zbl 1007.46009
Vakhania, N.; Kvaratskhelia, V.
2000
Unconditional convergence of random series and the geometry of Banach spaces. Zbl 0965.60015
Kvaratskhelia, V.
2000
The structure of summable sequences and $$p$$-summing operators. Zbl 0960.46010
2000
Absolute and unconditional convergence in $$l_ 1$$. Zbl 1034.46012
Vakhania, N.; Kvaratskhelia, V.
1999
On unconditional convergence of random series in Banach spaces. Zbl 0444.60009
Kvaratskhelia, V. V.
1980
all top 5

#### Cited by 10 Authors

 3 Kvaratskhelia, Vakhtang V. 2 Vakhania, Nicholas N. 1 Bajalinov, Erik B. 1 Bay, Xavier 1 Buldygin, Valeriĭ Volodymyrovych 1 Croix, Jean-Charles 1 Duleba, Sz. 1 Giorgobiani, Giorgi 1 Moskvichova, K. K. 1 Tarieladze, Vasha I.

#### Cited in 4 Serials

 4 Journal of Mathematical Sciences (New York) 1 Probability and Mathematical Statistics 1 Theory of Probability and Mathematical Statistics 1 CEJOR. Central European Journal of Operations Research
all top 5

#### Cited in 8 Fields

 5 Probability theory and stochastic processes (60-XX) 4 Functional analysis (46-XX) 3 Sequences, series, summability (40-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX)