The Russo-Dye theorem in nest algebras-Reference-Cited by-同舟云学术

The Russo-Dye theorem in nest algebras

Published:1998 Issue:10 Volume:126 Page:3055-3059
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Davidson Kenneth

Abstract

It is shown that the convex hull of the unitary elements of a nest algebra contains the whole unit ball if and only if both 0 + 0_+ and I − ⊥ I_-^\perp are either zero or infinite rank.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-10/S0002-9939-98-04538-9/S0002-9939-98-04538-9.pdf

Reference6 articles.

1. A non-selfadjoint Russo-Dye theorem;Anoussis, M.;Math. Ann.,1996

2. Pitman Research Notes in Mathematics Series;Davidson, Kenneth R.,1988

3. Means and convex combinations of unitary operators;Kadison, Richard V.;Math. Scand.,1985

4. Nest algebras and similarity transformations;Larson, David R.;Ann. of Math. (2),1985

5. Extreme points of certain operator algebras;Moore, R. L.;Indiana Univ. Math. J.,1987

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