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  1. Integral Equations and Operator Theory
  2. Integral Equations and Operator Theory : Volume 59
  3. Integral Equations and Operator Theory : Volume 59, Issue 2, October 2007
  4. Schur Complements in Krein Spaces
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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 59, Issue 4, December 2007
Integral Equations and Operator Theory : Volume 59, Issue 3, November 2007
Integral Equations and Operator Theory : Volume 59, Issue 2, October 2007
Exotic Indecomposable Systems of Four Subspaces in a Hilbert Space
Reflexivity for Subnormal Systems With Dominating Spectrum in Product Domains
Kth Roots of p-Hyponormal Operators are Subscalar Operators of Order 4k
Lie and Jordan Ideals in Reflexive Algebras
Schur Complements in Krein Spaces
The Structure of the Closure of the Rational Functions in Lq(μ)
An Operator Corona Theorem for Some Subspaces of H∞
CBMO Estimates for Commutators of Multilinear Fractional Integral Operators on Herz Spaces
The Reduced Minimum Modulus in C*-Algebras
Disintegration of Measures and Contractive 2-Variable Weighted Shifts
Integral Equations and Operator Theory : Volume 59, Issue 1, September 2007
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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Schur Complements in Krein Spaces

Content Provider SpringerLink
Author Maestripieri, Alejandra Pería, Francisco Martínez
Copyright Year 2007
Abstract The aim of this work is to generalize the notions of Schur complements and shorted operators to Krein spaces. Given a (bounded) J-selfadjoint operator A (with the unique factorization property) acting on a Krein space $${\mathcal{H}}$$ and a suitable closed subspace $${\mathcal{S}}$$ of $${\mathcal{H}}$$ , the Schur complement $$A_{/[\mathcal{S}]}$$ of A to $${\mathcal{S}}$$ is defined. The basic properties of $$A_{/[\mathcal{S}]}$$ are developed and different characterizations are given, most of them resembling those of the shorted of (bounded) positive operators on a Hilbert space.
Ending Page 221
Page Count 15
Starting Page 207
File Format PDF
ISSN 0378620X
e-ISSN 14208989
Journal Integral Equations and Operator Theory
Issue Number 2
Volume Number 59
Language English
Publisher Birkhäuser-Verlag
Publisher Date 2007-06-27
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Schur complements Operators on spaces with an indefinite metric Krein spaces Analysis Spaces with indefinite inner product (KreÄ­n spaces, Pontryagin spaces, etc.) Generalizations of inner products (semi-inner products, partial inner products, etc.)
Content Type Text
Resource Type Article
Subject Algebra and Number Theory Analysis
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