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Seminorms Associated with Subadditive Weights on C*-Algebras

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dc.contributor.author Bikchentaev A.M.
dc.date.accessioned 2021-02-24T11:09:27Z
dc.date.available 2021-02-24T11:09:27Z
dc.date.issued 2020
dc.identifier.issn 0001-4346
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/160678
dc.description.abstract © 2020, Pleiades Publishing, Ltd. Let ϕ be a subadditive weight on a C* -algebra A, and let Mϕ+ be the set of all elements x in A+ with ϕ(x) < +00. A seminorm ‖ • ‖ is introduced on the lineal Mϕsa = linRMϕ+, and a sufficient condition for the seminorm to be a norm is given. Let I be the unit of the algebra A, and let ϕ(I) = 1. Then, for every element x of Asa, the limit ρϕ(x) = limt→0+(ϕ(I + tx) - 1)/t exists and is finite. Properties of ρϕ are investigated, and examples of subadditive weights on C* -algebras are considered. On the basis of Lozinskii’s 1958 results, specific subadditive weights on Mn(C) are considered. An estimate for the difference of Cayley transforms of Hermitian elements of a von Neumann algebra is obtained.
dc.relation.ispartofseries Mathematical Notes
dc.subject bounded linear operator
dc.subject C*-algebra
dc.subject Cayley transform
dc.subject Hilbert space
dc.subject matrix norm
dc.subject projection
dc.subject seminorm
dc.subject subadditive weight
dc.subject von Neumann algebra
dc.title Seminorms Associated with Subadditive Weights on C*-Algebras
dc.type Article
dc.relation.ispartofseries-issue 3-4
dc.relation.ispartofseries-volume 107
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 383
dc.source.id SCOPUS00014346-2020-107-34-SID85083771688


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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