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- catalog abstract "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.".
- catalog contributor b12983211.
- catalog contributor b12983212.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description "Includes bibliographical references (p. [141]-144).".
- catalog description "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.".
- catalog description "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.".
- catalog extent "viii, 148 p. ;".
- catalog hasFormat "Also available in an electronic version.".
- catalog identifier "3540406808".
- catalog isFormatOf "Also available in an electronic version.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1820.".
- catalog isPartOf "Lecture notes in mathematics 0075-8434 ; 1820".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Berlin : London : Springer,".
- catalog relation "Also available in an electronic version.".
- catalog subject "515.733 21".
- catalog subject "Hilbert space.".
- catalog subject "Mathematics.".
- catalog subject "Matrix inequalities.".
- catalog subject "Matrix theory.".
- catalog subject "Operator theory.".
- catalog subject "QA3 .L28 no.1820".
- catalog tableOfContents "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.".
- catalog title "Means of Hilbert space operators / Fumio Hiai, Hideki Kosaki.".
- catalog type "Computer network resources. local".
- catalog type "Electronic books. lcsh".
- catalog type "text".