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024 7 $a10.1007/b13213
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100   $a20121227d2003      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aMeans of Hilbert Space Operators$b[electronic resource] /$fby Fumio Hiai, Hideki Kosaki
205   $a1st ed. 2003.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2003.
215   $a1 online resource (VIII, 156 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1820
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-40680-8 
320   $aIncludes bibliographical references (pages [141]-144) and index.
327   $aIntroduction -- 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.
330   $aThe monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller's characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and convergence criteria are established. After some general theory, special investigations are focused on three one-parameter families of A-L-G (arithmetic-logarithmic-geometric) interpolation means, Heinz-type means and binomial means. In particular, norm continuity in the parameter is examined for such means. Some necessary technical results are collected as appendices.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1820
606   $aFunctional analysis
606   $aOperator theory
606   $aMatrix theory
606   $aAlgebra
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
606   $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094
615  0$aFunctional analysis.
615  0$aOperator theory.
615  0$aMatrix theory.
615  0$aAlgebra.
615 14$aFunctional Analysis.
615 24$aOperator Theory.
615 24$aLinear and Multilinear Algebras, Matrix Theory.
676   $a515.7246
700   $aHiai$b Fumio$4aut$4http://id.loc.gov/vocabulary/relators/aut$062654
702   $aKosaki$b Hideki$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466662903316
996   $aMeans of Hilbert Space Operators$92512068
997   $aUNISA