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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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[1] Araki, H., Publ. RIMS Kyoto univ., 8, 439, (1973)
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[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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