Operator Matrices: SVEP and Weyl’s Theorem

It is known that if and are Banach space operators with the single-valued extension property, SVEP, then the matrix operator has SVEP for every operator and hence obeys Browder’s theorem. This paper considers conditions on operators A, B, and M0 ensuring Weyls theorem for operators MC.

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Bibliographic Details
Published inMediterranean journal of mathematics Vol. 2; no. 4; pp. 395 - 406
Main Authors Duggal, Bhagwati Prashad, Djordjević, Slavisa V.
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.12.2005
Subjects
Banach spaces
Mathematics
Operators (mathematics)
Theorems
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Summary:It is known that if and are Banach space operators with the single-valued extension property, SVEP, then the matrix operator has SVEP for every operator and hence obeys Browder’s theorem. This paper considers conditions on operators A, B, and M0 ensuring Weyls theorem for operators MC.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-005-0053-7