Positive maps on self-dual cones

Iochum, B.

doi:10.1090/S0002-9939-1990-1017003-2

Positive maps on self-dual cones
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Proc. Amer. Math. Soc. 110 (1990), 755-766 Request permission

Abstract:

Different properties of maps on a self-dual cone which preserve the order and the orthogonal decomposition are studied: polar decomposition, link with the order isomorphisms, normality, extremality within the order preserving maps. A characterization of derivation preserving maps is given. The results generalize a previous approach by S. Yamamuro et al.

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On homomorphisms of an orthogonally decomposable Hilbert space

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On homomorphisms of an orthogonally decomposable Hilbert space

Homomorphisms of an orthogonally decomposable Hilbert space