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

46C99Inner product spaces, Hilbert spaces
47B15Hermitian and normal operators
46L05General theory of $C^*$-algebras
47A60Functional calculus of operators
Full Text: DOI
[1] Araki, H.: Publ. RIMS Kyoto univ.. 8, 439 (1973)
[2] Gradstejn, I. S.; Ryzik, I. M.: Tablicy integralov, summ rjadov i proizvedenii. (1971)
[3] Haagerup, U.: The standard forms of von Neumann algebras. 15 (1973)
[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. 128 (1970) · Zbl 0193.42502
[6] Topping, D.: Lectures on von Neumann algebras. (1971) · 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)