Positive derivations on partially ordered linear algebra with an order unit-Reference-Cited by-同舟云学术

Positive derivations on partially ordered linear algebra with an order unit

Published:1978 Issue:1 Volume:72 Page:21-26
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dai Taen Yu,DeMarr Ralph

Abstract

We show that the range of a positive derivation on a Dedekind σ \sigma -complete partially ordered linear algebra with an order unit is a set of generalized nilpotents. With additional assumptions on the algebra, we show that the algebra has an important property similar to a property of the algebra of upper triangular matrices.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1978-072-01/S0002-9939-1978-0491402-4/S0002-9939-1978-0491402-4.pdf

Reference4 articles.

1. On some special classes of partially ordered linear algebras;Dai, Taen-yu;J. Math. Anal. Appl.,1972

2. Partially ordered linear algebras with multiplicative diagonal map;Dai, Taen Yu;Trans. Amer. Math. Soc.,1976

3. On partially ordering operator algebras;DeMarr, Ralph;Canadian J. Math.,1967

4. Derivations and automorphisms of operator algebras;Kadison, Richard V.;Comm. Math. Phys.,1967

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1. Positive derivations on archimedean lattice-ordered rings;Positivity;2008-04-30

2. Positive derivations on partially ordered strongly regular rings;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1984-10