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Title

A survey of certain trace inequalities

Authors 1

Affiliations

  1. Department of Mathematics, Faculty of Chemical Engineering, Technical University Budapest, Sztoczek u. 2, H ép II. 25, H-1521 Budapest XI, Hungary

Abstract

This paper concerns inequalities like TrA ≤ TrB, where A and B are certain Hermitian complex matrices and Tr stands for the trace. In most cases A and B will be exponential or logarithmic expressions of some other matrices. Due to the interest of the author in quantum statistical mechanics, the possible applications of the trace inequalities will be commented from time to time. Several inequalities treated below have been established in the context of Hilbert space operators or operator algebras. Notwithstanding these extensions our discussion will be limited to matrices.

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Banach Center Publications
1994/30/1
Export to PBN, Opens in new tab
Pages:
287-298
Main language of publication
English
Published
1994
Exact and natural sciences