Fumio Hiai,
Hideki Kosaki
Means of Hilbert Space Operators
Paperback Engels 2003 2003e druk 9783540406808
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
The monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller's characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and convergence criteria are established. After some general theory, special investigations are focused on three one-parameter families of A-L-G (arithmetic-logarithmic-geometric) interpolation means, Heinz-type means and binomial means. In particular, norm continuity in the parameter is examined for such means. Some necessary technical results are collected as appendices.
Specificaties
ISBN13:9783540406808
Taal:Engels
Bindwijze:paperback
Aantal pagina's:156
Uitgever:Springer Berlin Heidelberg
Druk:2003
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Inhoudsopgave
Introduction.- Double integral transformations.- Means of operators and their comparison.- Convergence of means.- A-L-G interpolation means Ma.- Heinz-type means Aa.- Binomial means Ba.- Certain alternating sums of operators.- Appendices.- References.- Index.
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