Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics

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Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics 52
2019-03 発行

REFINEMENTS AND REVERSES FOR THE RELATIVE OPERATOR ENTROPY S (AjB) WHEN B  A

DRAGOMIR, S. S. Mathematics, College of Engineering & Science Victoria University
BUSE, C Department of Mathematics, Polytechnic University Timisoara, Piata Victoriei
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In this paper we obtain new re nements and reverse inequalities for the relative operator entropy S (AjB) of two positive invertible operators when B  A. Applications for the operator entropy  (C) in the case of positive contractions C are also given.