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ArticleOriginal scientific text

Title

Trace inequalities for spaces in spectral duality

Authors 1

Affiliations

  1. Research Institute of Mathematics and Mechanics, Kazan University, Lenin Str. 18, Kazan 420008, Russian Federation.

Abstract

Let (A,e) and (V,K) be an order-unit space and a base-norm space in spectral duality, as in noncommutative spectral theory of Alfsen and Shultz. Let t be a norm lower semicontinuous trace on A, and let φ be a nonnegative convex function on ℝ. It is shown that the mapping a → t(φ(a)) is convex on A. Moreover, the mapping is shown to be nondecreasing if so is φ. Some other similar statements concerning traces and real-valued functions are also obtained.

Bibliography

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Studia Mathematica
1993/104/1
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Pages:
99-110
Main language of publication
English
Received
1992-06-30
Published
1993
Exact and natural sciences