Browsing Публикации сотрудников КФУ Scopus by Subject "ideal F-norm"

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Differences of idempotents in C*-algebras

Bikchentaev A. (2017)

© 2017, Pleiades Publishing, Ltd.Suppose that P and Q are idempotents on a Hilbert space H, while Q = Q* and I is the identity operator in H. If U = P − Q is an isometry then U = U* is unitary and Q = I − P. We establish ...
Ideal F-norms on C*-algebras

Bikchentaev A. (2015)

© 2015, Allerton Press, Inc. We show that every measure of non-compactness on a W*-algebra is an ideal F-pseudonorm. We establish a criterion of the right Fredholm property of an element with respect to a W*-algebra. We ...
Ideal F-Norms on C*-Algebras. II

Bikchentaev A. (2019)

© 2019, Allerton Press, Inc. We study ideal F-norms ‖·‖p, 0 <p < +∞ associated with a trace ϕ on a C*-algebra A. If A, B of A are such that |A|≤ |B|,then ‖A‖p ≤ ‖B‖p. We have ‖A‖p = ‖A*‖p for all A from A (0 <p < +∞)and a ...

Now showing items 1-3 of 3

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