Document Details Document Type : Article In Journal  Document Title : On some operator norm inequalities On some operator norm inequalities   Document Language : Arabic  Abstract : Let R(H) be the C*-algebra of all bounded linear operators on a complex Hilbert space H, S be an invertible and selfadjoint operator in R(H) and let (I, parallel to.parallel to(I)) denote a norm ideal of R(H). In this note, we shall show the following inequality: For AllX is an element of I : parallel toS X S-1 -S(-1)XSparallel to(I) (parallel toSparallel to parallel toS(-1)parallel to-1)parallel to S X S-1 + S-1 X Sparallel to(I). (C) 2004 Elsevier Inc. All rights reserved.   Journal Name : LINEAR ALGEBRA AND ITS APPLICATIONS  Volume : 389  Issue Number : 1  Publishing Year : 2004 AH   Added Date : Friday, June 20, 2008  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email . Seddik A Researcher     Back To Researches Page