dc.contributor.author |
Krishnan, Arundhathi |
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dc.contributor.author |
Kulkarni, S. H. |
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dc.date.accessioned |
2019-02-04T12:55:44Z |
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dc.date.available |
2019-02-04T12:55:44Z |
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dc.date.issued |
2017 |
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dc.identifier.citation |
Krishnan, A. and Kulkarni, S. H. (2017) 'Pseudospectra of elements of reduced Banach algebras', Advances in Operator Theory, 2(4), pp. 475-493. doi: 10.22034/aot.1702-1112 |
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dc.identifier.volume |
2 |
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dc.identifier.issued |
4 |
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dc.identifier.startpage |
475 |
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dc.identifier.endpage |
493 |
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dc.identifier.issn |
2538-225X |
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dc.identifier.uri |
http://hdl.handle.net/10468/7428 |
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dc.identifier.doi |
10.22034/aot.1702-1112 |
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dc.description.abstract |
Let A be a Banach algebra with identity 1 and p∈A be a non-trivial idempotent. Then q=1−p is also an idempotent. The subalgebras pAp and qAq are Banach algebras, called reduced Banach algebras, with identities p and q respectively. For a∈A and ε>0, we examine the relationship between the ε-pseudospectrum Λε(A,a) of a∈A, and ε-pseudospectra of pap∈pAp and qaq∈qAq. We also extend this study by considering a finite number of idempotents p1,⋯,pn, as well as an arbitrary family of idempotents satisfying certain conditions. |
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dc.format.mimetype |
application/pdf |
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dc.language.iso |
en |
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dc.publisher |
Tusi Math. Research Group (TMRG) |
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dc.relation.uri |
http://www.aot-math.org/article_48321.html |
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dc.rights |
© 2017 Tusi Math. Research Group (TMRG) |
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dc.subject |
Banach algebra |
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dc.subject |
Direct sum |
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dc.subject |
Reduced Banach algebra |
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dc.subject |
Idempotent |
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dc.subject |
Pseudospectrum |
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dc.subject |
Spectrum |
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dc.title |
Pseudospectra of elements of reduced Banach algebras |
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dc.type |
Article (peer-reviewed) |
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dc.internal.authorcontactother |
Arundhathi Krishnan, School of Mathematical Sciences, University College Cork, Cork, Ireland. +353-21-490-3000 Email: arundhathi.krishnan@ucc.ie |
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dc.internal.availability |
Full text available |
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dc.date.updated |
2019-02-04T12:44:07Z |
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dc.description.version |
Accepted Version |
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dc.internal.rssid |
471843406 |
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dc.description.status |
Peer reviewed |
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dc.identifier.journaltitle |
Advances in Operator Theory |
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dc.internal.copyrightchecked |
No !!CORA!! |
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dc.internal.licenseacceptance |
Yes |
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dc.internal.IRISemailaddress |
arundhathi.krishnan@ucc.ie |
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