Pseudospectra of elements of reduced Banach algebras
| dc.contributor.author | Krishnan, Arundhathi | |
| dc.contributor.author | Kulkarni, S. H. | |
| dc.date.accessioned | 2019-02-04T12:55:44Z | |
| dc.date.available | 2019-02-04T12:55:44Z | |
| dc.date.issued | 2017 | |
| dc.date.updated | 2019-02-04T12:44:07Z | |
| 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. | en |
| dc.description.status | Peer reviewed | en |
| dc.description.version | Accepted Version | en |
| dc.format.mimetype | application/pdf | en |
| 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 | en |
| dc.identifier.doi | 10.22034/aot.1702-1112 | |
| dc.identifier.endpage | 493 | en |
| dc.identifier.issn | 2538-225X | |
| dc.identifier.issued | 4 | en |
| dc.identifier.journaltitle | Advances in Operator Theory | en |
| dc.identifier.startpage | 475 | en |
| dc.identifier.uri | https://hdl.handle.net/10468/7428 | |
| dc.identifier.volume | 2 | en |
| dc.language.iso | en | en |
| dc.publisher | Tusi Math. Research Group (TMRG) | en |
| dc.relation.uri | http://www.aot-math.org/article_48321.html | |
| dc.rights | © 2017 Tusi Math. Research Group (TMRG) | en |
| dc.subject | Banach algebra | en |
| dc.subject | Direct sum | en |
| dc.subject | Reduced Banach algebra | en |
| dc.subject | Idempotent | en |
| dc.subject | Pseudospectrum | en |
| dc.subject | Spectrum | en |
| dc.subject | ~Mathematical Sciences- Journal Articles~ | en |
| dc.title | Pseudospectra of elements of reduced Banach algebras | en |
| dc.type | Article (peer-reviewed) | en |
