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008 091123s2014 si sb 001 0 eng d
020 _a9789814546782
_qelectronic bk.
020 _z9789814546775
_qalk. paper
020 _z9781944660864
040 _aWSPC
_beng
_cWSPC
082 _a512.943
_bPER
090 _aQA188
_b.P43 2014
100 1 _aPersson, Lars-Erik,
_d1944-
245 1 0 _aMatrix spaces and Schur multipliers
_h[electronic resource] :
_bmatriceal harmonic analysis /
_cLars-Erik Persson, Nicolae Popa.
260 _aSingapore ;
_aHackensack, N.J. :
_bWorld Scientific Pub. Co.,
_c2023.
300 _axiv, 192 p.
504 _aIncludes bibliographical references (p. 185-189) and index.
505 0 _a1. Introduction. 1.1. Preliminary notions and notations -- 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 -- 3. Matrix versions of spaces of periodical functions. 3.1. Preliminaries. 3.2. Some properties of the space C[symbol]. 3.3. Another characterization of the space C[symbol] and related results. 3.4. A matrix version for functions of bounded variation. 3.5. Approximation of infinite matrices by matriceal Haar polynomials. 3.6. Lipschitz spaces of matrices; a characterization -- 4. Matrix versions of Hardy spaces. 4.1. First properties of matriceal Hardy space. 4.2. Hardy-Schatten spaces. 4.3. An analogue of the Hardy inequality in T[symbol]. 4.4. The Hardy inequality for matrix-valued analytic functions. 4.5. A characterization of the space T[symbol]. 4.6. An extension of Shields's inequality -- 5. The matrix version of BMOA. 5.1. First properties of BMOA[symbol] space. 5.2. Another matrix version of BMO and matriceal Hankel operators. 5.3. Nuclear Hankel operators and the space M[symbol] -- 6. Matrix version of Bergman spaces. 6.1. Schatten class version of Bergman spaces. 6.2. Some inequalities in Bergman-Schatten classes. 6.3. A characterization of the Bergman-Schatten space. 6.4. Usual multipliers in Bergman-Schatten spaces -- 7. A matrix version of Bloch spaces. 7.1. Elementary properties of Bloch matrices. 7.2. Matrix version of little Bloch space -- 8. Schur multipliers on analytic matrix spaces.
506 _aOnline version restricted to NUS staff and students only through NUSNET.
520 _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 has been used, for example, in signal processing and image analysis.
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Internet connectivity; World Wide Web browser.
650 0 _aMatrices.
650 0 _aAlgebraic spaces.
650 0 _aSchur multiplier.
700 1 _aPopa, Nicolae.
710 2 _aWorld Scientific (Firm)
942 _2ddc
_cPROJECT
956 4 0 _uhttp://libproxy1.nus.edu.sg/login?url=http://www.worldscientific.com/worldscibooks/10.1142/8933#t=toc
_32013 WS full coll
999 _c39867
_d39867