Compact Operators and Uniform Structures in Hilbert $$C^*$$-Modules

Author:

Troitsky E. V.,Fufaev D. V.

Publisher

Pleiades Publishing Ltd

Subject

Applied Mathematics,Analysis

Reference10 articles.

1. N. Bourbaki, General Topology: Chapters 5–10, Springer-Verlag, Berlin, 1998.

2. M. Frank and D. R. Larson, “A module frame concept for Hilbert $$C^\ast$$-modules”, Contemp. Math., vol. 247 Amer. Math. Soc., Providence, RI, 1999, 207–233,.

3. M. Frank and D. R. Larson, “Frames in Hilbert $$C^\ast$$-modules and $$C^\ast$$-algebras”, J. Operator Theory, 48:2 (2002), 273–314.

4. G. G. Kasparov, “Hilbert C*-modules: Theorems of Stinespring and Voiculescu”, J. Opererator Theory, 4 (1980), 133–150.

5. D. J. Kečkić and Z. Lazović, “Compact and “compact” operators on standard Hilbert modules over $$W^*$$-algebras”, Ann. Funct. Anal., 9:2 (2018), 258–270; arXiv: 1610.06956.

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A new uniform structure for Hilbert $$C^*$$-modules;Annals of Functional Analysis;2024-06-03

2. Thick Elements and States in $$C^*$$-Algebras in View of Frame Theory;Russian Journal of Mathematical Physics;2023-06

3. Topological and Frame Properties of Certain Pathological $$C^*$$-Algebras;Russian Journal of Mathematical Physics;2022-06

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