More elementary operators that are spectrally bounded

Nadia Boudi; Martin Mathieu

doi:10.1016/j.jmaa.2015.03.012

More elementary operators that are spectrally bounded

Nadia Boudi
, Martin Mathieu^*

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

We discuss some necessary and some sufficient conditions for an elementary operator x↦∑ⁿ_i=1a_ixb_i on a Banach algebra A to be spectrally bounded. In the case of length three, we obtain a complete characterisation when A acts irreducibly on a Banach space of dimension greater than three.

Original language	English
Pages (from-to)	471-489
Number of pages	19
Journal	Journal of Mathematical Analysis and its Applications
Volume	428
Issue number	1
Early online date	17 Mar 2015
DOIs	https://doi.org/10.1016/j.jmaa.2015.03.012
Publication status	Published - 01 Aug 2015

Keywords

Elementary operator
Quasi-nilpotent
Spectrally bounded

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.jmaa.2015.03.012Licence: Unspecified

Cite this

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title = "More elementary operators that are spectrally bounded",

abstract = "We discuss some necessary and some sufficient conditions for an elementary operator x↦∑ni=1aixbi on a Banach algebra A to be spectrally bounded. In the case of length three, we obtain a complete characterisation when A acts irreducibly on a Banach space of dimension greater than three.",

keywords = "Elementary operator, Quasi-nilpotent, Spectrally bounded",

author = "Nadia Boudi and Martin Mathieu",

year = "2015",

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T1 - More elementary operators that are spectrally bounded

AU - Boudi, Nadia

AU - Mathieu, Martin

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AB - We discuss some necessary and some sufficient conditions for an elementary operator x↦∑ni=1aixbi on a Banach algebra A to be spectrally bounded. In the case of length three, we obtain a complete characterisation when A acts irreducibly on a Banach space of dimension greater than three.

KW - Elementary operator

KW - Quasi-nilpotent

KW - Spectrally bounded

UR - https://www.scopus.com/pages/publications/84934441591

U2 - 10.1016/j.jmaa.2015.03.012

DO - 10.1016/j.jmaa.2015.03.012

M3 - Article

AN - SCOPUS:84934441591

SN - 0022-247X

VL - 428

SP - 471

EP - 489

JO - Journal of Mathematical Analysis and its Applications

JF - Journal of Mathematical Analysis and its Applications

IS - 1

ER -

More elementary operators that are spectrally bounded

Abstract

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

Université Moulay Ismail

Cite this

More elementary operators that are spectrally bounded

Abstract

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

Université Moulay Ismail

Cite this