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  1. Integral Equations and Operator Theory
  2. Integral Equations and Operator Theory : Volume 74
  3. Integral Equations and Operator Theory : Volume 74, Issue 2, October 2012
  4. Fundamental Agler Decompositions
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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 74, Issue 4, December 2012
Integral Equations and Operator Theory : Volume 74, Issue 3, November 2012
Integral Equations and Operator Theory : Volume 74, Issue 2, October 2012
Approximation of the Quadratic Numerical Range of Block Operator Matrices
Skew-Self-Adjoint Dirac System with a Rectangular Matrix Potential: Weyl Theory, Direct and Inverse Problems
Pure Cocycle Perturbations of E 0-Semigroups
On The Structure of A Commutative Banach Algebra Generated By Toeplitz Operators With Quasi-Radial Quasi-Homogeneous Symbols
Fundamental Agler Decompositions
Closedness and Adjoints of Products of Operators, and Compressions
Lineability of Universal Divergence of Fourier Series
Stability and Convergence of Product Formulas for Operator Matrices
Integral Equations and Operator Theory : Volume 74, Issue 1, September 2012
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 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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Fundamental Agler Decompositions

Content Provider SpringerLink
Author Bickel, Kelly
Copyright Year 2012
Abstract We use shift-invariant subspaces of the Hardy space on the bidisk to provide an elementary proof of the existence of Agler decompositions. We observe that these shift-invariant subspaces are specific cases of Hilbert spaces that can be defined from Agler decompositions and analyze the properties of such Hilbert spaces. We then restrict attention to rational inner functions and show that the shift-invariant subspaces provide easy proofs of several known results about decompositions of rational inner functions. We use our analysis to obtain a result about stable polynomials on the polydisk.
Ending Page 257
Page Count 25
Starting Page 233
File Format PDF
ISSN 0378620X
e-ISSN 14208989
Journal Integral Equations and Operator Theory
Issue Number 2
Volume Number 74
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2012-09-11
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) Stable polynomials Bidisk Operator methods in interpolation, moment and extension problems Analysis Schur functions Agler decompositions
Content Type Text
Resource Type Article
Subject Algebra and Number Theory Analysis
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