On algebras generated by invertible operators

Avraham Feintuch

doi:10.1090/S0002-9939-1977-0435929-9

On algebras generated by invertible operators

Avraham Feintuch

Department of Mathematics

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

6 Scopus citations

Abstract

Let T be an invertible operator such that the compact operators in R(T) are weakly dense in it. Then T^-l ∊ R(T). In particular, if Fis an essentially unitary C0 operator, T^-l ∊ R(T).

Original language	English
Pages (from-to)	66-68
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	63
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1977-0435929-9
State	Published - 1 Jan 1977

Keywords

Compact operators
Invariant subspace
Invertible operators
Weakly closed algebras

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1977-0435929-9

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title = "On algebras generated by invertible operators",

abstract = "Let T be an invertible operator such that the compact operators in R(T) are weakly dense in it. Then T-l ∊ R(T). In particular, if Fis an essentially unitary C0 operator, T-l ∊ R(T).",

keywords = "Compact operators, Invariant subspace, Invertible operators, Weakly closed algebras",

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AB - Let T be an invertible operator such that the compact operators in R(T) are weakly dense in it. Then T-l ∊ R(T). In particular, if Fis an essentially unitary C0 operator, T-l ∊ R(T).

KW - Compact operators

KW - Invariant subspace

KW - Invertible operators

KW - Weakly closed algebras

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ER -

On algebras generated by invertible operators

Abstract

Keywords

ASJC Scopus subject areas

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