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  1. Integral Equations and Operator Theory
  2. Integral Equations and Operator Theory : Volume 56
  3. Integral Equations and Operator Theory : Volume 56, Issue 4, December 2006
  4. Polar Decompositions of C0(N) Contractions
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Integral Equations and Operator Theory : Volume 88
Integral Equations and Operator Theory : Volume 87
Integral Equations and Operator Theory : Volume 86
Integral Equations and Operator Theory : Volume 85
Integral Equations and Operator Theory : Volume 84
Integral Equations and Operator Theory : Volume 83
Integral Equations and Operator Theory : Volume 82
Integral Equations and Operator Theory : Volume 81
Integral Equations and Operator Theory : Volume 80
Integral Equations and Operator Theory : Volume 79
Integral Equations and Operator Theory : Volume 78
Integral Equations and Operator Theory : Volume 77
Integral Equations and Operator Theory : Volume 76
Integral Equations and Operator Theory : Volume 75
Integral Equations and Operator Theory : Volume 74
Integral Equations and Operator Theory : Volume 73
Integral Equations and Operator Theory : Volume 72
Integral Equations and Operator Theory : Volume 71
Integral Equations and Operator Theory : Volume 70
Integral Equations and Operator Theory : Volume 69
Integral Equations and Operator Theory : Volume 68
Integral Equations and Operator Theory : Volume 67
Integral Equations and Operator Theory : Volume 66
Integral Equations and Operator Theory : Volume 65
Integral Equations and Operator Theory : Volume 64
Integral Equations and Operator Theory : Volume 63
Integral Equations and Operator Theory : Volume 62
Integral Equations and Operator Theory : Volume 61
Integral Equations and Operator Theory : Volume 60
Integral Equations and Operator Theory : Volume 59
Integral Equations and Operator Theory : Volume 58
Integral Equations and Operator Theory : Volume 57
Integral Equations and Operator Theory : Volume 56
Integral Equations and Operator Theory : Volume 56, Issue 4, December 2006
On n-contractive and n-hypercontractive Operators
Isometric Equivalence of Certain Operators on Banach Spaces
De Branges Spaces of Entire Functions Symmetric About the Origin
Some Sharp Norm Estimates in the Subspace Perturbation Problem
Double Commuting Compressed Shifts and Generalized Interpolation in the Hardy Space over the Bidisk
Polar Decompositions of C0(N) Contractions
Determinant Formula for the Trace Class Perturbation of Heisenberg Commutation Relation
Automorphisms on the Toeplitz Algebra with Piecewise Continuous Symbol on the Unit Ball
Orthogonally Additive Polynomials over C(K) are Measures—A Short Proof
Integral Equations and Operator Theory : Volume 56, Issue 3, November 2006
Integral Equations and Operator Theory : Volume 56, Issue 2, October 2006
Integral Equations and Operator Theory : Volume 56, Issue 1, September 2006
Integral Equations and Operator Theory : Volume 55
Integral Equations and Operator Theory : Volume 54
Integral Equations and Operator Theory : Volume 53
Integral Equations and Operator Theory : Volume 52
Integral Equations and Operator Theory : Volume 51
Integral Equations and Operator Theory : Volume 50
Integral Equations and Operator Theory : Volume 49
Integral Equations and Operator Theory : Volume 48
Integral Equations and Operator Theory : Volume 47
Integral Equations and Operator Theory : Volume 46
Integral Equations and Operator Theory : Volume 45
Integral Equations and Operator Theory : Volume 44
Integral Equations and Operator Theory : Volume 43
Integral Equations and Operator Theory : Volume 42
Integral Equations and Operator Theory : Volume 41
Integral Equations and Operator Theory : Volume 40
Integral Equations and Operator Theory : Volume 39
Integral Equations and Operator Theory : Volume 38
Integral Equations and Operator Theory : Volume 37
Integral Equations and Operator Theory : Volume 36
Integral Equations and Operator Theory : Volume 35
Integral Equations and Operator Theory : Volume 34
Integral Equations and Operator Theory : Volume 33
Integral Equations and Operator Theory : Volume 32
Integral Equations and Operator Theory : Volume 31
Integral Equations and Operator Theory : Volume 30
Integral Equations and Operator Theory : Volume 29
Integral Equations and Operator Theory : Volume 28
Integral Equations and Operator Theory : Volume 27

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Polar Decompositions of C0(N) Contractions

Content Provider SpringerLink
Author Wu, Pei Yuan
Copyright Year 2006
Abstract Let A be a bounded linear operator on a complex separable Hilbert space H. We show that A is a C0(N) contraction if and only if $$ A = u{\left( {I - {\sum {^{d}_{{j = 1}} r_{j} (x_{i} \otimes x_{j} )} }} \right)} $$ , where U is a singular unitary operator with multiplicity $$ d \leq N,0 < r_1 , \ldots ,r_d \leq 1 $$ and x1, . . . , xd are orthonormal vectors satisfying $$ \bigvee \left\{ {U^k x_j :k \geq 0,1 \leq j \leq d} \right\} = H $$ . For a C0(N) contraction, this gives a complete characterization of its polar decompositions with unitary factors.
Ending Page 569
Page Count 11
Starting Page 559
File Format PDF
ISSN 0378620X
e-ISSN 14208989
Journal Integral Equations and Operator Theory
Issue Number 4
Volume Number 56
Language English
Publisher Birkhäuser-Verlag
Publisher Date 2006-05-03
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Canonical models for contractions and nonselfadjoint operators finite multiplicity C0(N) contraction Analysis compression of the shift Factorization of matrices Dilations, extensions, compressions polar decomposition singular unitary operator defect index
Content Type Text
Resource Type Article
Subject Algebra and Number Theory Analysis
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