Pseudospectra of elements of reduced Banach algebras II
| dc.contributor.author | Krishnan, Arundhathi | |
| dc.contributor.author | Kulkarni, S. H. | |
| dc.contributor.funder | Council of Scientific and Industrial Research | en |
| dc.contributor.funder | Indian Statistical Institute, Bangalore Centre | en |
| dc.date.accessioned | 2019-02-04T12:09:42Z | |
| dc.date.available | 2019-02-04T12:09:42Z | |
| dc.date.issued | 2018 | |
| dc.date.updated | 2019-02-04T11:54:15Z | |
| 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. Let x ∈ A be such that pxp = xp, and ε > 0. We examine the relationship between the spectrum of x ∈ A, σ(A, x), and the spectra of pxp ∈ pAp, σ(pAp, pxp) and qxq ∈ qAq, σ(qAq, qxq). Similarly, we examine the relationship betweeen the ε-pseudospectrum of x ∈ A, Λε(A, x) and ε-pseudospectra of pxp ∈ pAp, Λε(pAp, pxp) and of qxq ∈ qAq, Λε(qAq, qxq). | en |
| dc.description.sponsorship | Council of Scientific and Industrial Research, CSIR, India (File No: 09/084(0647)/2013-EMR-I) | en |
| dc.description.status | Peer reviewed | en |
| dc.description.version | Published Version | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | A. Krishnan and S. H. Kulkarni (2018) 'Pseudospectra of elements of reduced Banach algebras II'. Functional Analysis, Approximation and Computation, 10(2), pp. 33-45. | en |
| dc.identifier.endpage | 45 | en |
| dc.identifier.issn | 2406-1573 | |
| dc.identifier.issued | 2 | en |
| dc.identifier.journaltitle | Functional Analysis, Approximation and Computation | en |
| dc.identifier.startpage | 33 | en |
| dc.identifier.uri | https://hdl.handle.net/10468/7427 | |
| dc.identifier.volume | 10 | en |
| dc.language.iso | en | en |
| dc.publisher | Univerzitet u Nišu, University of Nis, Serbia | en |
| dc.relation.uri | http://journal.pmf.ni.ac.rs/faac/index.php/faac/article/view/158/84 | |
| dc.rights | © The Authors 2018; © 2018 – Prirodno-matematički fakultet Niš | en |
| dc.subject | Banach algebra | en |
| dc.subject | Direct sum | en |
| dc.subject | Idempotent | en |
| dc.subject | Pseudospectrum | en |
| dc.subject | Reduced Banach algebra | en |
| dc.subject | Spectrum | en |
| dc.title | Pseudospectra of elements of reduced Banach algebras II | en |
| dc.type | Article (peer-reviewed) | en |
