Principal Bimodules of Nest Algebras
β Scribed by Kenneth R Davidson; John Lindsay Orr
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 583 KB
- Volume
- 157
- Category
- Article
- ISSN
- 0022-1236
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π SIMILAR VOLUMES
In this paper we characterize linear maps . between two nest algebras T(N) and T(M) which satisfy the property that .(AB&BA)=. ## (A) .(B)&.(B) .(A) for all A, B # T(N). In particular, it is shown that such isomorphisms only exist if N is similar to M or M = .
Spaces of operators that are left and right modules over maximal abelian selfadjoint algebras (masa bimodules for short) are natural generalizations of algebras with commutative subspace lattices. This paper is concerned with density properties of finite rank operators and of various classes of comp
## Abstract Nest algebras provide examples of partial Jordan \*βtriples. If __A__ is a nest algebra and __A__~__s__~ = __A__ β© A\*, where __A__\* is the set of the adjoints of the operators lying in __A__, then (__A__, __A__~__s__~) forms a partial Jordan \*βtriple. Any weak\*βclosed ideal in the n
Pimsner introduced the C\*-algebra O X generated by a Hilbert bimodule X over a C\*-algebra A. We look for additional conditions that X should satisfy in order to study the simplicity and, more generally, the ideal structure of O X when X is finite projective. We introduce two conditions, ``(I)-free