Variations on Weyl's theorem |
| |
Authors: | Pietro Aiena Pedro Peña |
| |
Institution: | a Dipartimento di Matematica ed Applicazioni Facoltà di Ingegneria, Università di Palermo Viale delle Scienze, I-90128 Palermo, Italy b Departamento de Matemáticas, Facultad de Ciencias, UCLA, Merida, Venezuela |
| |
Abstract: | In this note we study the property (w), a variant of Weyl's theorem introduced by Rako?evi?, by means of the localized single-valued extension property (SVEP). We establish for a bounded linear operator defined on a Banach space several sufficient and necessary conditions for which property (w) holds. We also relate this property with Weyl's theorem and with another variant of it, a-Weyl's theorem. We show that Weyl's theorem, a-Weyl's theorem and property (w) for T (respectively T*) coincide whenever T* (respectively T) satisfies SVEP. As a consequence of these results, we obtain that several classes of commonly considered operators have property (w). |
| |
Keywords: | Localized SVEP Weyl's theorems Browder's theorems Property _method=retrieve& _eid=1-s2 0-S0022247X05011765& _mathId=si7 gif& _pii=S0022247X05011765& _issn=0022247X& _acct=C000069490& _version=1& _userid=6211566& md5=487f57e94cb6cffa058c9f18e439bb8e')" style="cursor:pointer (w)" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">(w) |
本文献已被 ScienceDirect 等数据库收录! |
|