Means of Hilbert Space Operators

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 a...

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Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Hiai, Fumio (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Kosaki, Hideki (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
Έκδοση:1st ed. 2003.
Σειρά:Lecture Notes in Mathematics, 1820
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Means of Hilbert Space Operators  |h [electronic resource] /  |c by Fumio Hiai, Hideki Kosaki. 
250 |a 1st ed. 2003. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2003. 
300 |a VIII, 156 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1820 
505 0 |a 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. 
520 |a 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. 
650 0 |a Functional analysis. 
650 0 |a Operator theory. 
650 0 |a Matrix theory. 
650 0 |a Algebra. 
650 1 4 |a Functional Analysis.  |0 http://scigraph.springernature.com/things/product-market-codes/M12066 
650 2 4 |a Operator Theory.  |0 http://scigraph.springernature.com/things/product-market-codes/M12139 
650 2 4 |a Linear and Multilinear Algebras, Matrix Theory.  |0 http://scigraph.springernature.com/things/product-market-codes/M11094 
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830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1820 
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