Title of article
Comparison of Various Means for Operators
Author/Authors
Hiai، نويسنده , , Fumio and Kosaki، نويسنده , , Hideki، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1999
Pages
24
From page
300
To page
323
Abstract
For Hilbert space operatorsH,K,XwithH,K⩾0 the norm inequality |||H1/2XK1/2|||⩽12|||HX+XK||| is known, where |||·||| is an arbitrary unitarily invariant norm. A refinement of this arithmetic–geometric mean inequality is studied. Similar norm inequalities are indeed established for various natural means for operators such as the logarithmic mean.
Journal title
Journal of Functional Analysis
Serial Year
1999
Journal title
Journal of Functional Analysis
Record number
1549274
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