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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 1, Pages 205-207
doi:10.1155/S0161171295000263

Around the Furuta inequality—the operator inequalities (AB2A)¾≤ABA≤A3

Derming Wang

Department of Mathematics, California State University, Long Beach 90840, California, USA

Abstract

For positive operators A and B with A invertible it is shown that (AB2A)½≤A2 implies (AB2A)¾≤ABA. The inequalities in the title for 0≤B≤A are then derived as a conquence.