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pro vyhledávání: '"Read, Charles John"'
Autor:
Blecher, David P., Read, Charles John
We continue our study of operator algebras with contractive approximate identities (cais) by presenting a couple of interesting examples of operator algebras with cais, which in particular answer questions raised in previous papers in this series, fo
Externí odkaz:
http://arxiv.org/abs/1407.1349
Autor:
Blecher, David P., Read, Charles John
We continue our study of operator algebras with and contractive approximate identities (cais). In earlier papers we have introduced and studied a new notion of positivity in operator algebras, with an eye to extending certain C*-algebraic results and
Externí odkaz:
http://arxiv.org/abs/1407.1356
Autor:
Read, Charles John
Publikováno v:
Pacific J. Math. 273 (2015) 443-460
The paper of S. Gulick [Sidney (Denny) L. Gulick, Commutativity and ideals in the biduals of topological algebras, Pacific J. Math 18 No. 1, 1966] contains some good mathematics, but it also contains an error. It claims that for a Banach algebra A, t
Externí odkaz:
http://arxiv.org/abs/1403.5958
Autor:
Blecher, David P., Read, Charles John
We exhibit a singly generated, semisimple commutative operator algebra with a contractive approximate identity, such that the spectrum of the generator is a null sequence and zero, but the algebra is not the closed linear span of the idempotents asso
Externí odkaz:
http://arxiv.org/abs/1309.2023
Autor:
Blecher, David P., Read, Charles John
We continue our study of operator algebras with contractive approximate identities (cais). In earlier papers we have introduced and studied a new notion of positivity in operator algebras, with an eye to extending certain $C^*$-algebraic results and
Externí odkaz:
http://arxiv.org/abs/1308.2723
Autor:
Read, Charles John
The classical theorem of Bishop-Phelps asserts that, for a Banach space X, the norm-achieving functionals in X* are dense in X*. Bela Bollobas's extension of the theorem gives a quantitative description of just how dense the norm-achieving functional
Externí odkaz:
http://arxiv.org/abs/1307.7958
We make several contributions to our recent program investigating structural properties of algebras of operators on a Hilbert space. For example, we make substantial contributions to the noncommutative peak interpolation program begun by Hay and the
Externí odkaz:
http://arxiv.org/abs/1206.4022
This paper may be viewed as having two aims. First, we continue our study of algebras of operators on a Hilbert space which have a contractive approximate identity, this time from a more Banach algebraic point of view. Namely, we mainly investigate t
Externí odkaz:
http://arxiv.org/abs/1206.3466
Autor:
Blecher, David P., Read, Charles John
We give several applications of a recent theorem of the second author, which solved a conjecture of the first author with Hay and Neal, concerning contractive approximate identities; and another of Hay from the theory of noncommutative peak sets, the
Externí odkaz:
http://arxiv.org/abs/1011.3797
Autor:
Blecher, David P., Read, Charles John
Publikováno v:
Transactions of the American Mathematical Society, 2016 May 01. 368(5), 3243-3270.
Externí odkaz:
https://www.jstor.org/stable/tranamermathsoci.368.5.3243
