A condition for diagonalization modulo arbitrary norm ideals

Jingbo Xia

doi:10.1016/j.jfa.2008.06.002

A condition for diagonalization modulo arbitrary norm ideals

Jingbo Xia

Mathematics

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

3 Scopus citations

Abstract

We give a spectral condition which is sufficient for the simultaneous diagonalization of a commuting tuple of self-adjoint operators modulo a given norm ideal. For diagonalization modulo certain norm ideals this condition is also necessary, while for other norm ideals this condition seems to be close to being necessary. Moreover, this condition is easy to verify in applications.

Original language	English
Pages (from-to)	1039-1056
Number of pages	18
Journal	Journal of Functional Analysis
Volume	255
Issue number	5
DOIs	https://doi.org/10.1016/j.jfa.2008.06.002
State	Published - Sep 1 2008

Keywords

Diagonalization
Norm ideal

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10.1016/j.jfa.2008.06.002

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title = "A condition for diagonalization modulo arbitrary norm ideals",

abstract = "We give a spectral condition which is sufficient for the simultaneous diagonalization of a commuting tuple of self-adjoint operators modulo a given norm ideal. For diagonalization modulo certain norm ideals this condition is also necessary, while for other norm ideals this condition seems to be close to being necessary. Moreover, this condition is easy to verify in applications.",

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T1 - A condition for diagonalization modulo arbitrary norm ideals

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N2 - We give a spectral condition which is sufficient for the simultaneous diagonalization of a commuting tuple of self-adjoint operators modulo a given norm ideal. For diagonalization modulo certain norm ideals this condition is also necessary, while for other norm ideals this condition seems to be close to being necessary. Moreover, this condition is easy to verify in applications.

AB - We give a spectral condition which is sufficient for the simultaneous diagonalization of a commuting tuple of self-adjoint operators modulo a given norm ideal. For diagonalization modulo certain norm ideals this condition is also necessary, while for other norm ideals this condition seems to be close to being necessary. Moreover, this condition is easy to verify in applications.

KW - Diagonalization

KW - Norm ideal

UR - https://www.scopus.com/pages/publications/48949115118

U2 - 10.1016/j.jfa.2008.06.002

DO - 10.1016/j.jfa.2008.06.002

M3 - Article

AN - SCOPUS:48949115118

SN - 0022-1236

VL - 255

SP - 1039

EP - 1056

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 5

ER -

A condition for diagonalization modulo arbitrary norm ideals

Abstract

Keywords

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