Means of Hilbert Space Operators (Lecture Notes in Mathematics, 1820, Band 1820) - Softcover

Hiai, Fumio; Kosaki, Hideki

Softcover

ISBN 10: 3540406808 ISBN 13: 9783540406808

Verlag: Springer, 2008

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Fumio Hiai is an Emeritus Professor at the Graduate School of Information Science, Tohoku University, Sendai, Japan, whose research interests are operator theory, operator algebras and quantum probability. He published more than 95 papers and several books on various subjects of mathematics, including more than 20 papers on matrix analysis. His recent interest is also quantum information.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2008
• Sprache: Englisch
• ISBN 10: 3540406808
• ISBN 13: 9783540406808
• Einband: Taschenbuch
• Anzahl der Seiten: 164
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