Elementary operators that are spectrally bounded

Nadia Boudi; Martin Mathieu

doi:10.1007/978-3-0348-0037-2_1

Elementary operators that are spectrally bounded

Nadia Boudi, Martin Mathieu

School of Mathematics and Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Citations (Scopus)

Abstract

We study spectrally bounded elementary operators of length two on a complex unital Banach algebra A. Some related conditions are investigated as well. In particular, we show that if S is an elementary operator of length two such that S(x) is quasi-nilpotent for every x ∈ A, then S(x)³ ∈ radA for every x ∈ A.

Original language	English
Title of host publication	Elementary Operators and Their Applications - 3rd International Workshop, 2009
Editors	Martin Mathieu, Raúl E. Curto
Publisher	Springer International Publishing Switzerland
Pages	1-15
Number of pages	15
ISBN (Print)	9783034800365
DOIs	https://doi.org/10.1007/978-3-0348-0037-2_1
Publication status	Published - 01 Jan 2011
Event	3rd International Workshop on Elementary Operators and Their Applications, 2009 - Belfast, United Kingdom Duration: 14 Apr 2009 → 17 Apr 2009

Publication series

Name	Operator Theory: Advances and Applications
Volume	212
ISSN (Print)	0255-0156
ISSN (Electronic)	2296-4878

Conference

Conference	3rd International Workshop on Elementary Operators and Their Applications, 2009
Country/Territory	United Kingdom
City	Belfast
Period	14/04/2009 → 17/04/2009

Keywords

Banach algebras
Elementary operators
Finite spectrum
Spectrally bounded

ASJC Scopus subject areas

Analysis

Access to Document

10.1007/978-3-0348-0037-2_1

Cite this

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title = "Elementary operators that are spectrally bounded",

abstract = "We study spectrally bounded elementary operators of length two on a complex unital Banach algebra A. Some related conditions are investigated as well. In particular, we show that if S is an elementary operator of length two such that S(x) is quasi-nilpotent for every x ∈ A, then S(x)3 ∈ radA for every x ∈ A.",

keywords = "Banach algebras, Elementary operators, Finite spectrum, Spectrally bounded",

author = "Nadia Boudi and Martin Mathieu",

year = "2011",

month = jan,

day = "1",

doi = "10.1007/978-3-0348-0037-2_1",

language = "English",

isbn = "9783034800365",

series = "Operator Theory: Advances and Applications",

publisher = "Springer International Publishing Switzerland",

pages = "1--15",

editor = "Martin Mathieu and Curto, {Ra{\'u}l E.}",

booktitle = "Elementary Operators and Their Applications - 3rd International Workshop, 2009",

note = "3rd International Workshop on Elementary Operators and Their Applications, 2009 ; Conference date: 14-04-2009 Through 17-04-2009",

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Boudi, N & Mathieu, M 2011, Elementary operators that are spectrally bounded. in M Mathieu & RE Curto (eds), Elementary Operators and Their Applications - 3rd International Workshop, 2009. Operator Theory: Advances and Applications, vol. 212, Springer International Publishing Switzerland, pp. 1-15, 3rd International Workshop on Elementary Operators and Their Applications, 2009, Belfast, United Kingdom, 14/04/2009. https://doi.org/10.1007/978-3-0348-0037-2_1

Elementary operators that are spectrally bounded. / Boudi, Nadia; Mathieu, Martin.
Elementary Operators and Their Applications - 3rd International Workshop, 2009. ed. / Martin Mathieu; Raúl E. Curto. Springer International Publishing Switzerland, 2011. p. 1-15 (Operator Theory: Advances and Applications; Vol. 212).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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N2 - We study spectrally bounded elementary operators of length two on a complex unital Banach algebra A. Some related conditions are investigated as well. In particular, we show that if S is an elementary operator of length two such that S(x) is quasi-nilpotent for every x ∈ A, then S(x)3 ∈ radA for every x ∈ A.

AB - We study spectrally bounded elementary operators of length two on a complex unital Banach algebra A. Some related conditions are investigated as well. In particular, we show that if S is an elementary operator of length two such that S(x) is quasi-nilpotent for every x ∈ A, then S(x)3 ∈ radA for every x ∈ A.

KW - Banach algebras

KW - Elementary operators

KW - Finite spectrum

KW - Spectrally bounded

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BT - Elementary Operators and Their Applications - 3rd International Workshop, 2009

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ER -

Elementary operators that are spectrally bounded

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Status Report on Spectrally Bounded and Spectrally Isometric Operators

Spectrally Bounded Elementary Operators

3rd International Workshop on Elementary Operators and their Applications

Cite this

Elementary operators that are spectrally bounded

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Activities

Status Report on Spectrally Bounded and Spectrally Isometric Operators

Spectrally Bounded Elementary Operators

3rd International Workshop on Elementary Operators and their Applications

Cite this