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Functional calculus for sesquilinear forms and the purification map. (English) Zbl 0327.46032

##### MSC:
 46C99 Inner product spaces and their generalizations, Hilbert spaces 47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.) 46L05 General theory of $$C^*$$-algebras 47A60 Functional calculus for linear operators
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##### References:
 [1] Araki, H., Publ. RIMS Kyoto univ., 8, 439, (1973) [2] Gradstejn, I.S.; Ryzik, I.M., Tablicy integralov, summ rjadov i proizvedenii, (1971), Moskva, (Russian) [3] Haagerup, U., The standard forms of von Neumann algebras, 15, (1973), Kobenhavns Universiter, Matematisk Institut, preprint series N° [4] Powers, R.T.; Stormer, E., Commun. math. phys., 16, 1, (1970) [5] Takesaki, M., Tomita’s theory of modular Hilbert algebras and its applications, vol. 128, (1970), Springer Berlin-Heidelberg-New York, LNM · Zbl 0193.42502 [6] Topping, D., Lectures on von Neumann algebras, (1971), Van Nostrand Reinhold Company London · Zbl 0218.46061 [7] Woronowicz, S.L., Commun. math. phys., 28, 221, (1972) [8] Woronowicz, S.L., Commun. math. phys., 30, 55, (1973) [9] Woronowicz, S.L., Reports math. phys., 6, 487, (1975)
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