Absolute values in orthogonally decomposable spaces

Author:

Yamamuro Sadayuki

Abstract

In an ordered Banach space which is orthogonally decomposable, we define the absolute value and its general properties are given. The results are used to study the properties of linear operators which satisfy Kato's inequality and the locality condition.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

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2. A generalization of dissipativity and positive semigroups;Wolfgang;J. Operator Theory,1982

3. On linear operators on ordered banach spaces

4. Linear maps of C*-algebras preserving the absolute value;Gardner;Proc. Amer. Math. Soc.,1979

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1. Complete orthogonal decomposition homomorphisms between matrix ordered Hilbert spaces;Proceedings of the American Mathematical Society;2000-10-19

2. Positive maps on self-dual cones;Proceedings of the American Mathematical Society;1990

3. Homomorphisms on an orthogonally decomposable Hilbert space V;Bulletin of the Australian Mathematical Society;1989-10

4. On homomorphisms of an orthogonally decomposable Hilbert space, III;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1988-12

5. Extremal maps of a Hilbert space equipped with a natural cone;Mathematische Zeitschrift;1987-03

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