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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 4, December 2012
  4. Subideals of Operators II
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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
Dilations of Some VH-Spaces Operator Valued Invariant Kernels
Stability of the Inverse Resonance Problem for Jacobi Operators
Orthogonal and Skew-Symmetric Operators in Real Hilbert Space
Maximal Regularity for Perturbed Integral Equations on the Line
Non-Commutative Polynomial Solutions to Partial Differential Equations
Subideals of Operators II
Integral Equations and Operator Theory : Volume 74, Issue 3, November 2012
Integral Equations and Operator Theory : Volume 74, Issue 2, October 2012
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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Subideals of Operators II

Content Provider SpringerLink
Author Weiss, Gary Patnaik, Sasmita
Copyright Year 2012
Abstract A subideal (also called a J-ideal) is an ideal of a B(H)-ideal J. This paper is the sequel to Subideals of Operators where a complete characterization of principal and then finitely generated J-ideals were obtained by first generalizing the 1983 work of Fong and Radjavi who determined which principal K(H)-ideals are also B(H)-ideals. Here we determine which countably generated J-ideals are B(H)-ideals, and in the absence of the continuum hypothesis, which J-ideals with generating sets of cardinality less than the continuum are B(H)-ideals. These and some other results herein are based on the dimension of a related quotient space. We use this to characterize these J-ideals and settle additional questions about subideals. A key property in our investigation turned out to be J-softness of a B(H)-ideal I inside J, that is, IJ =  I, a generalization of a recent notion of softness of B(H)-ideals introduced by Kaftal–Weiss and earlier exploited for Banach spaces by Mityagin and Pietsch.
Ending Page 600
Page Count 14
Starting Page 587
File Format PDF
ISSN 0378620X
e-ISSN 14208989
Journal Integral Equations and Operator Theory
Issue Number 4
Volume Number 74
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2012-10-31
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Structure, classification theorems operator ideals Operators defined by compactness properties Operator ideals Torsion modules and ideals principal ideals Analysis subideals Operators on special spaces (weighted shifts, operators on sequence spaces, etc.) Commutators, derivations, elementary operators, etc. Operators belonging to operator ideals (nuclear, $p$ -summing, in the Schatten-von Neumann classes, etc.) Ideals lattices
Content Type Text
Resource Type Article
Subject Algebra and Number Theory Analysis
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