Separating versus strictly separating vectors-Reference-Cited by-同舟云学术

Separating versus strictly separating vectors

Published:1996 Issue:10 Volume:124 Page:3135-3142
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Azoff Edward,Ding Lifeng,Wogen Warren

Abstract

Let S S be a linear manifold of Banach space operators which is closed in the strong operator topology. Existence of a disjoint pair of separating vectors does not guarantee reflexivity of S S , but S S must be reflexive if one of these vectors is strictly separating. S S must also be reflexive if all non–zero linear combinations of some independent pair of vectors strictly separate S S .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-10/S0002-9939-96-03381-3/S0002-9939-96-03381-3.pdf

Reference7 articles.

1. On finite rank operators and preannihilators;Azoff, Edward A.;Mem. Amer. Math. Soc.,1986

2. Algebras generated by mutually orthogonal idempotent operators;Azoff, E.;J. Operator Theory,1993

3. Literal embeddings of linear spaces of operators;Azoff, E. A.;Indiana Univ. Math. J.,1993

4. Separating vectors and reflexivity;Ding, Lifeng;Linear Algebra Appl.,1992

5. L. Ding, On strictly separating vectors and reflexivity, Operator Theory & Integral Equations 19 (1994), 373–380.

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