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)
Reference11 articles.
1. Schrödinger operators with singular potentials
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
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
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