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A compact regular operator without modulus

Published:1992 Issue:3 Volume:116 Page:721-726
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Abramovich Y. A.,Wickstead A. W.

Abstract

We construct an operator with the properties mentioned in the title. Without the regularity assumption such an example was first discovered by U. Krengel.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-116-03/S0002-9939-1992-1098395-7/S0002-9939-1992-1098395-7.pdf

Reference11 articles.

1. Pure and Applied Mathematics;Aliprantis, Charalambos D.,1985

2. Some new characterizations of AM-spaces;Abramovič, Ju. A.;An. Univ. Craiova Mat. Fiz.-Chim.,1978

3. When each continuous operator is regular;Abramovich, Yuri A.,1990

4. Regular operators from and into a small Riesz space;Abramovich, Y. A.;Indag. Math. (N.S.),1991

5. Remark on the modulus of compact operators;Krengel, Ulrich;Bull. Amer. Math. Soc.,1966

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1. Order Bounded Operators May be Far from Regular;Functional Analysis and Economic Theory;1998

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