6 citations · 12 across the 6 of their papers we have counts for
9 papers
Order theory and interpolation in operator algebras
David P. Blecher, Charles John Read
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 operat…
Operator algebras with contractive approximate identities: Weak compactness and the spectrum
David P. Blecher, Charles John Read
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 pa…
The Bidual of a Radical Operator algebra can be Semisimple
Charles John Read
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, b…
Operator algebras with contractive approximate identities, III
David P. Blecher, Charles John Read
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 a…
Operator algebras with contractive approximate identities: A large operator algebra in c0
David P. Blecher, Charles John Read
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,…
Banach spaces with no proximinal subspaces of codimension 2
Charles John Read
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 qu…
Ideals and hereditary subalgebras in operator algebras
Melahat Almus, David P. Blecher, Charles John Read
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…
Operator algebras with contractive approximate identities II
David Peter Blecher, Charles John Read
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…
Operator algebras with contractive approximate identities
David P. Blecher, Charles John Read
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 identitie…