Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
A note on the Jensen inequality for self-adjoint operators
Tomohiro Hayashi
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Keywords: operator inequality, Jensen inequality
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2010 Volume 62 Issue 3 Pages 949-961

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Abstract
In this paper we consider a certain order-like relation for self-adjoint operators on a Hilbert space. This relation is defined by using the Jensen inequality. We will show that under some assumptions this relation is antisymmetric.
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© 2010 The Mathematical Society of Japan
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