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LEADER: 02320cam a22003373 4500
001 012654844-7
005 20140910154253.0
008 100904s2010 nyu b 001 0 eng d
020 $a9781441960931
020 $a1441960937
035 0 $aocn662409466
040 $aBTCTA$beng$cBTCTA$dYDXCP$dMDY
050 14 $aQA322$b.S8813 2010
100 1 $aSzőkefalvi-Nagy, Béla,$d1913-1998.
245 10 $aHarmonic analysis of operators on Hilbert space /$cBéla Sz.- Nagy ...[et. al].
250 $aRev. and enlarged ed.
260 $aNew York :$bSpringer Science,$cc2010.
300 $axiii, 474 p. ;$c24 cm.
490 1 $aUniversitext
504 $aIncludes bibliographical references (p. 441-463) and indexes.
505 0 $aContractions and Their Dilations -- Geometrical and Spectral Properties of Dilations -- Functional Calculus -- Extended Functional Calculus -- Operator-Valued Analytic Functions -- Functional Models -- Regular Factorizations and Invariant Subspaces -- Weak Contractions -- The Structure of C1.-Contractions -- The Structure of Operators of Class C0.
520 $aThe existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis. The first edition of this book was an account of the progress done in this direction in 1950-70. Since then, this work has influenced many other areas of mathematics, most notably interpolation theory and control theory. This second edition, in addition to revising and amending the original text, focuses on further developments of the theory. Specifically, the last two chapters of the book continue and complete the study of two operator classes: operators whose powers do not converge strongly to zero, and operators whose functional calculus (as introduced in Chapter III) is not injective. For both of these classes, a wealth of material on structure, classification and invariant subspaces is included in Chapters IX and X. Several chapters conclude with a sketch of other developments related with (and developing) the material of the first edition.
650 0 $aHilbert space.
650 0 $aHarmonic analysis.
650 0 $aOperator theory.
650 0 $aMathematics.
830 0 $aUniversitext.
899 $a415_565186
988 $a20110113
049 $aCLSL
906 $0OCLC