LEADER 04183nam 2200661 450 001 9910453611803321 005 20200520144314.0 010 $a981-4546-78-X 035 $a(CKB)2550000001191480 035 $a(EBL)1611970 035 $a(SSID)ssj0000982841 035 $a(PQKBManifestationID)12374760 035 $a(PQKBTitleCode)TC0000982841 035 $a(PQKBWorkID)10984107 035 $a(PQKB)11236432 035 $a(MiAaPQ)EBC1611970 035 $a(WSP)00008933 035 $a(PPN)189428597 035 $a(Au-PeEL)EBL1611970 035 $a(CaPaEBR)ebr10832724 035 $a(CaONFJC)MIL570903 035 $a(OCoLC)870245831 035 $a(EXLCZ)992550000001191480 100 $a20130913h20142014 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMatrix spaces and Schur multipliers $ematriceal harmonic analysis /$fby Lars-Erik Persson (Lulea? University of Technology, Sweden & Narvik University College, Norway) & Nicolae Popa ("Simion Stoilov" Institute of Mathematics, Romanian Academy, Romania & Technical University "Petrol si Gaze", Romania) 210 1$a[Hackensack] New Jersey :$cWorld Scientific,$d[2014] 210 4$dİ2014 215 $a1 online resource (207 p.) 300 $aDescription based upon print version of record. 311 $a981-4546-77-1 311 $a1-306-39652-2 320 $aIncludes bibliographical references and index. 327 $aPreface; Contents; 1. Introduction; 1.1 Preliminary notions and notations; 1.1.1 Infinite matrices; 1.1.2 Analytic functions on disk; 1.1.3 Miscellaneous; 1.1.4 The Bergman metric; Notes; 2. Integral operators in infinite matrix theory; 2.1 Periodical integral operators; 2.2 Nonperiodical integral operators; 2.3 Some applications of integral operators in the classical theory of infinite matrices; 2.3.1 The characterization of Toeplitz matrices; 2.3.2 The characterization of Hankel matrices; 2.3.3 The main triangle projection; 2.3.4 B( 2) is a Banach algebra under the Schur product; Notes 327 $a3. Matrix versions of spaces of periodical functions3.1 Preliminaries; 3.2 Some properties of the space C( 2); 3.3 Another characterization of the space C( 2) and related results; 3.4 A matrix version for functions of bounded variation; 3.5 Approximation of infinite matrices by matriceal Haar polynomials; 3.5.1 Introduction; 3.5.2 About the space ms; 3.5.3 Extension of Haar's theorem; 3.6 Lipschitz spaces of matrices; a characterization; Notes; 4. Matrix versions of Hardy spaces; 4.1 First properties of matriceal Hardy space; 4.2 Hardy-Schatten spaces 327 $a6.2 Some inequalities in Bergman-Schatten classes6.3 A characterization of the Bergman-Schatten space; 6.4 Usual multipliers in Bergman-Schatten spaces; Notes; 7. A matrix version of Bloch spaces; 7.1 Elementary properties of Bloch matrices; 7.2 Matrix version of little Bloch space; Notes; 8. Schur multipliers on analytic matrix spaces; Notes; Bibliography; Index 330 $aThis book gives a unified approach to the theory concerning a new matrix version of classical harmonic analysis. Most results in the book have their analogues as classical or newer results in harmonic analysis. It can be used as a source for further research in many areas related to infinite matrices. In particular, it could be a perfect starting point for students looking for new directions to write their PhD thesis as well as for experienced researchers in analysis looking for new problems with great potential to be very useful both in pure and applied mathematics where classical analysis ha 606 $aMatrices 606 $aAlgebraic spaces 606 $aSchur multiplier 608 $aElectronic books. 615 0$aMatrices. 615 0$aAlgebraic spaces. 615 0$aSchur multiplier. 676 $a512.9/434 700 $aPersson$b Lars-Erik$f1944-$0149302 701 $aPopa$b Nicolae$0104716 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910453611803321 996 $aMatrix spaces and Schur multipliers$92269968 997 $aUNINA