Herrero's approximation problem for quasidiagonal operators

Nathanial P. Brown

doi:10.1006/jfan.2001.3787

Herrero's approximation problem for quasidiagonal operators

Nathanial P. Brown

Mathematics

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

9 Scopus citations

Abstract

Let T be a quasidiagonal operator on a separable Hilbert space. It is shown that there exists a sequence of operators {T_n*} such that dim(C*(T_n)) < ∞ and ∥T-T_n∥ → 0 if and only if C*(T) is exact.

Original language	English (US)
Pages (from-to)	360-365
Number of pages	6
Journal	Journal of Functional Analysis
Volume	186
Issue number	2
DOIs	https://doi.org/10.1006/jfan.2001.3787
State	Published - Nov 10 2001

All Science Journal Classification (ASJC) codes

Analysis

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10.1006/jfan.2001.3787

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title = "Herrero's approximation problem for quasidiagonal operators",

abstract = "Let T be a quasidiagonal operator on a separable Hilbert space. It is shown that there exists a sequence of operators \{Tn*\} such that dim(C*(Tn)) < ∞ and ∥T-Tn∥ → 0 if and only if C*(T) is exact.",

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AB - Let T be a quasidiagonal operator on a separable Hilbert space. It is shown that there exists a sequence of operators {Tn*} such that dim(C*(Tn)) < ∞ and ∥T-Tn∥ → 0 if and only if C*(T) is exact.

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DO - 10.1006/jfan.2001.3787

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JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

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Herrero's approximation problem for quasidiagonal operators

Abstract

All Science Journal Classification (ASJC) codes

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