On the ideals of extended quasi-nilpotent Banach algebras

Given a quasi-nilpotent Banach algebra A, we will use the results of Seddighin [2], to study the properties of elements which belong to a proper closed two sided ideal of A¯ and A¯¯. Here A¯ is the extension of A to a Banach Algebra with identity.

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Main Author: Morteza Seddighin
Format: Article
Language:English
Published: Wiley 1991-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171291000662
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author Morteza Seddighin
author_facet Morteza Seddighin
author_sort Morteza Seddighin
collection DOAJ
description Given a quasi-nilpotent Banach algebra A, we will use the results of Seddighin [2], to study the properties of elements which belong to a proper closed two sided ideal of A¯ and A¯¯. Here A¯ is the extension of A to a Banach Algebra with identity.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1991-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-19a7fa20de0445d3aca25f838fc0f8392025-02-03T01:21:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114348148410.1155/S0161171291000662On the ideals of extended quasi-nilpotent Banach algebrasMorteza Seddighin0Department of Mathematics, PanHandle State University, Goodwell 73939, OK, USAGiven a quasi-nilpotent Banach algebra A, we will use the results of Seddighin [2], to study the properties of elements which belong to a proper closed two sided ideal of A¯ and A¯¯. Here A¯ is the extension of A to a Banach Algebra with identity.http://dx.doi.org/10.1155/S0161171291000662Banach algebraspectrumquasi-nilpotent Banach algebras nonperturbing element.
spellingShingle Morteza Seddighin
On the ideals of extended quasi-nilpotent Banach algebras
International Journal of Mathematics and Mathematical Sciences
Banach algebra
spectrum
quasi-nilpotent Banach algebras
nonperturbing element.
title On the ideals of extended quasi-nilpotent Banach algebras
title_full On the ideals of extended quasi-nilpotent Banach algebras
title_fullStr On the ideals of extended quasi-nilpotent Banach algebras
title_full_unstemmed On the ideals of extended quasi-nilpotent Banach algebras
title_short On the ideals of extended quasi-nilpotent Banach algebras
title_sort on the ideals of extended quasi nilpotent banach algebras
topic Banach algebra
spectrum
quasi-nilpotent Banach algebras
nonperturbing element.
url http://dx.doi.org/10.1155/S0161171291000662
work_keys_str_mv AT mortezaseddighin ontheidealsofextendedquasinilpotentbanachalgebras