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A note on Blecher's characterization of Hilbert C* -modules

Franka Miriam Brückler

Puni tekst: engleski, pdf (113 KB) str. 263-269 preuzimanja: 458* citiraj
APA 6th Edition
Brückler, F.M. (2001). A note on Blecher's characterization of Hilbert C* -modules. Glasnik matematički, 36 (2), 263-269. Preuzeto s https://hrcak.srce.hr/4839
MLA 8th Edition
Brückler, Franka Miriam. "A note on Blecher's characterization of Hilbert C* -modules." Glasnik matematički, vol. 36, br. 2, 2001, str. 263-269. https://hrcak.srce.hr/4839. Citirano 20.10.2021.
Chicago 17th Edition
Brückler, Franka Miriam. "A note on Blecher's characterization of Hilbert C* -modules." Glasnik matematički 36, br. 2 (2001): 263-269. https://hrcak.srce.hr/4839
Harvard
Brückler, F.M. (2001). 'A note on Blecher's characterization of Hilbert C* -modules', Glasnik matematički, 36(2), str. 263-269. Preuzeto s: https://hrcak.srce.hr/4839 (Datum pristupa: 20.10.2021.)
Vancouver
Brückler FM. A note on Blecher's characterization of Hilbert C* -modules. Glasnik matematički [Internet]. 2001 [pristupljeno 20.10.2021.];36(2):263-269. Dostupno na: https://hrcak.srce.hr/4839
IEEE
F.M. Brückler, "A note on Blecher's characterization of Hilbert C* -modules", Glasnik matematički, vol.36, br. 2, str. 263-269, 2001. [Online]. Dostupno na: https://hrcak.srce.hr/4839. [Citirano: 20.10.2021.]

Sažetak
By a theorem of D. P. Blecher, a Hilbert C*-module V over a C*-algebra A (faithfully and nondegenerately represented on a Hilbert space H) is characterized by a certain Hilbert space HV, such that V can be embedded in the algebra B(H, HV) of bounded operators between H and HV. In this paper it is shown: 1. For a Hilbert C*-module over a C*-algebra of compact operators the Hilbert space HV conicides with a Hilbert subspace of the module, which characterizes all adjointable operators on the module; 2. For any Hilbert C*-module V, its strict completion can be realized in the algebra B(H, HV).

Ključne riječi
Hilbert C*-module

Hrčak ID: 4839

URI
https://hrcak.srce.hr/4839

Posjeta: 660 *