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Record Nr. |
UNISA996466662903316 |
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Autore |
Hiai Fumio |
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Titolo |
Means of Hilbert Space Operators [[electronic resource] /] / by Fumio Hiai, Hideki Kosaki |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 |
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ISBN |
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Edizione |
[1st ed. 2003.] |
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Descrizione fisica |
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1 online resource (VIII, 156 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1820 |
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Disciplina |
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Soggetti |
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Functional analysis |
Operator theory |
Matrix theory |
Algebra |
Functional Analysis |
Operator Theory |
Linear and Multilinear Algebras, Matrix Theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references (pages [141]-144) and index. |
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Nota di contenuto |
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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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Sommario/riassunto |
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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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