Approximability of the inverse of an operator

Avraham Feintuch

doi:10.1090/S0002-9939-1978-0461178-5

Approximability of the inverse of an operator

Avraham Feintuch

Department of Mathematics

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

4 Scopus citations

Abstract

Let A be an invertible operator on a complex Hilbert space K. A necessary and sufficient condition is given for A-1 to be a weak limit of polynomials in A.

Original language	English
Pages (from-to)	109-110
Number of pages	2
Journal	Proceedings of the American Mathematical Society
Volume	69
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1978-0461178-5
State	Published - 1 Jan 1978

Keywords

Invertible operator
Numerical range
Strict positivity
Weakly closed algebra

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1978-0461178-5

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abstract = "Let A be an invertible operator on a complex Hilbert space K. A necessary and sufficient condition is given for A-1 to be a weak limit of polynomials in A.",

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KW - Numerical range

KW - Strict positivity

KW - Weakly closed algebra

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Approximability of the inverse of an operator

Abstract

Keywords

ASJC Scopus subject areas

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