Diagonalization modulo a class of Orlicz ideals

Jingbo Xia

doi:10.1016/j.jfa.2006.05.004

Diagonalization modulo a class of Orlicz ideals

Jingbo Xia

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We consider a class of norm ideals C_G which are non-commutative analogues of Orlicz spaces and which satisfy a previously introduced condition called (QK). We give a spectral condition which is necessary and sufficient for a commuting tuple of self-adjoint operators A = (A₁, ..., A_n) to be simultaneously diagonalizable modulo C_G.

Original language	English
Pages (from-to)	268-296
Number of pages	29
Journal	Journal of Functional Analysis
Volume	239
Issue number	1
DOIs	https://doi.org/10.1016/j.jfa.2006.05.004
State	Published - Oct 1 2006

Keywords

Diagonalization
Orlicz ideal
s-Number

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10.1016/j.jfa.2006.05.004

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title = "Diagonalization modulo a class of Orlicz ideals",

abstract = "We consider a class of norm ideals CG which are non-commutative analogues of Orlicz spaces and which satisfy a previously introduced condition called (QK). We give a spectral condition which is necessary and sufficient for a commuting tuple of self-adjoint operators A = (A1, ..., An) to be simultaneously diagonalizable modulo CG.",

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PY - 2006/10/1

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N2 - We consider a class of norm ideals CG which are non-commutative analogues of Orlicz spaces and which satisfy a previously introduced condition called (QK). We give a spectral condition which is necessary and sufficient for a commuting tuple of self-adjoint operators A = (A1, ..., An) to be simultaneously diagonalizable modulo CG.

AB - We consider a class of norm ideals CG which are non-commutative analogues of Orlicz spaces and which satisfy a previously introduced condition called (QK). We give a spectral condition which is necessary and sufficient for a commuting tuple of self-adjoint operators A = (A1, ..., An) to be simultaneously diagonalizable modulo CG.

KW - Diagonalization

KW - Orlicz ideal

KW - s-Number

UR - https://www.scopus.com/pages/publications/33746665221

U2 - 10.1016/j.jfa.2006.05.004

DO - 10.1016/j.jfa.2006.05.004

M3 - Article

AN - SCOPUS:33746665221

SN - 0022-1236

VL - 239

SP - 268

EP - 296

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

ER -

Diagonalization modulo a class of Orlicz ideals

Abstract

Keywords

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