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Means of Hilbert Space Operators: Lecture Notes in Mathematics, cartea 1820

Autor Fumio Hiai, Hideki Kosaki
en Limba Engleză Paperback – 19 aug 2003
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.
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Specificații

ISBN-13: 9783540406808
ISBN-10: 3540406808
Pagini: 164
Ilustrații: VIII, 156 p.
Dimensiuni: 155 x 235 x 9 mm
Greutate: 0.24 kg
Ediția:2003
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

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Cuprins

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.