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On Homomorphisms of an Orthogonally Decomposable Hilbert Space II

Part of: Topological linear spaces and related structures

Published online by Cambridge University Press:  09 April 2009

S. Yamamuro
S. Yamamuro
Affiliation:
Department of MathematicsInstitute of Advanced StudiesAustralian National University Canberra, A.C.T., Australia
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Abstract

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We present two more characterizations of maps which preserve orthogonal decompositions defined on Hilbert spaces ordered by natural cones.

MSC classification

Secondary: 46A40: Ordered topological linear spaces, vector lattices
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 44 , Issue 2 , April 1988 , pp. 159 - 163
Copyright
Copyright © Australian Mathematical Society 1988

References

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[3]Dang, T. B. and Yamamuro, S., ‘On homomorphisms of an orthogonally decomposable Hilbert space’, J. Functional Analysis, to appear.Google Scholar
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