Diagonalization modulo norm ideals with Lipschitz estimates

Jingbo Xia

doi:10.1006/jfan.1996.3036

Diagonalization modulo norm ideals with Lipschitz estimates

Jingbo Xia

Mathematics

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

14 Scopus citations

Abstract

Suppose that (X, d) is a compact metric space and thatμis a regular Borel measure onX. Let Lip(X) denote the collection of Lipschitz functions onX. In this paper, we investigate the problem of simultaneous diagonalization of the multiplication operators {M_f: f∈Lip(X)} onL²(X, μ) modulo norm ideals of compact operators.

Original language	English
Pages (from-to)	491-526
Number of pages	36
Journal	Journal of Functional Analysis
Volume	145
Issue number	2
DOIs	https://doi.org/10.1006/jfan.1996.3036
State	Published - Apr 15 1997

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10.1006/jfan.1996.3036

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title = "Diagonalization modulo norm ideals with Lipschitz estimates",

abstract = "Suppose that (X, d) is a compact metric space and thatμis a regular Borel measure onX. Let Lip(X) denote the collection of Lipschitz functions onX. In this paper, we investigate the problem of simultaneous diagonalization of the multiplication operators \{Mf: f∈Lip(X)\} onL2(X, μ) modulo norm ideals of compact operators.",

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N2 - Suppose that (X, d) is a compact metric space and thatμis a regular Borel measure onX. Let Lip(X) denote the collection of Lipschitz functions onX. In this paper, we investigate the problem of simultaneous diagonalization of the multiplication operators {Mf: f∈Lip(X)} onL2(X, μ) modulo norm ideals of compact operators.

AB - Suppose that (X, d) is a compact metric space and thatμis a regular Borel measure onX. Let Lip(X) denote the collection of Lipschitz functions onX. In this paper, we investigate the problem of simultaneous diagonalization of the multiplication operators {Mf: f∈Lip(X)} onL2(X, μ) modulo norm ideals of compact operators.

UR - https://www.scopus.com/pages/publications/0031569725

U2 - 10.1006/jfan.1996.3036

DO - 10.1006/jfan.1996.3036

M3 - Article

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SN - 0022-1236

VL - 145

SP - 491

EP - 526

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

ER -

Diagonalization modulo norm ideals with Lipschitz estimates

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