03478nam 22007215 450 99646666290331620200701222249.03-540-45152-810.1007/b13213(CKB)1000000000233136(SSID)ssj0000324721(PQKBManifestationID)11268441(PQKBTitleCode)TC0000324721(PQKBWorkID)10315377(PQKB)10447178(DE-He213)978-3-540-45152-5(MiAaPQ)EBC6285906(MiAaPQ)EBC5579665(Au-PeEL)EBL5579665(OCoLC)53925497(PPN)238054322(EXLCZ)99100000000023313620121227d2003 u| 0engurnn|008mamaatxtccrMeans of Hilbert Space Operators[electronic resource] /by Fumio Hiai, Hideki Kosaki1st ed. 2003.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2003.1 online resource (VIII, 156 p.) Lecture Notes in Mathematics,0075-8434 ;1820Bibliographic Level Mode of Issuance: Monograph3-540-40680-8 Includes bibliographical references (pages [141]-144) and index.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.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.Lecture Notes in Mathematics,0075-8434 ;1820Functional analysisOperator theoryMatrix theoryAlgebraFunctional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Operator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Linear and Multilinear Algebras, Matrix Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11094Functional analysis.Operator theory.Matrix theory.Algebra.Functional Analysis.Operator Theory.Linear and Multilinear Algebras, Matrix Theory.515.7246Hiai Fumioauthttp://id.loc.gov/vocabulary/relators/aut62654Kosaki Hidekiauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK996466662903316Means of Hilbert Space Operators2512068UNISA