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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)
[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: Springer Berlin-Heidelberg-New York, LNM · Zbl 0193.42502
[6] Topping, D., Lectures on von Neumann algebras (1971), Van Nostrand Reinhold Company: 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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