Commutativity via spectra of exponentials

Rudi Brits; Francois Schulz; Cheick Touré

doi:10.4153/S0008439521000886

Commutativity via spectra of exponentials

Rudi Brits
, Francois Schulz
, Cheick Touré

Mathematics and Applied Mathematics

University of Johannesburg

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

1 Citation (Scopus)

Abstract

Let A be a semisimple, unital, and complex Banach algebra. It is well known and easy to prove that A is commutative if and only e^xe^y = e^x^+y for all x, y ∈ A.

Original language	English
Pages (from-to)	815-824
Number of pages	10
Journal	Canadian Mathematical Bulletin
Volume	65
Issue number	4
DOIs	https://doi.org/10.4153/S0008439521000886
Publication status	Published - 2022

Keywords

Banach algebra
Spectrum
commutativity
exponential function

ASJC Scopus subject areas

General Mathematics

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10.4153/S0008439521000886

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@article{ee682da1aae641dd910286817b76400f,

title = "Commutativity via spectra of exponentials",

abstract = "Let A be a semisimple, unital, and complex Banach algebra. It is well known and easy to prove that A is commutative if and only exey = ex+y for all x, y ∈ A.",

keywords = "Banach algebra, Spectrum, commutativity, exponential function",

author = "Rudi Brits and Francois Schulz and Cheick Tour{\'e}",

note = "Publisher Copyright: {\textcopyright} Canadian Mathematical Society, 2021.",

year = "2022",

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language = "English",

volume = "65",

pages = "815--824",

journal = "Canadian Mathematical Bulletin",

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T1 - Commutativity via spectra of exponentials

AU - Brits, Rudi

AU - Schulz, Francois

AU - Touré, Cheick

N1 - Publisher Copyright: © Canadian Mathematical Society, 2021.

PY - 2022

Y1 - 2022

N2 - Let A be a semisimple, unital, and complex Banach algebra. It is well known and easy to prove that A is commutative if and only exey = ex+y for all x, y ∈ A.

AB - Let A be a semisimple, unital, and complex Banach algebra. It is well known and easy to prove that A is commutative if and only exey = ex+y for all x, y ∈ A.

KW - Banach algebra

KW - Spectrum

KW - commutativity

KW - exponential function

UR - https://www.scopus.com/pages/publications/85119176925

U2 - 10.4153/S0008439521000886

DO - 10.4153/S0008439521000886

M3 - Article

AN - SCOPUS:85119176925

SN - 0008-4395

VL - 65

SP - 815

EP - 824

JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

IS - 4

ER -

Commutativity via spectra of exponentials

Abstract

Keywords

ASJC Scopus subject areas

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