BOURGIN-YANG-TYPE THEOREM FOR a-COMPACT PERTURBATIONS OF CLOSED OPERATORS. PART I. THE CASE OF INDEX THEORIES WITH DIMENSION PROPERTY

A variant of the Bourgin-Yang theorem for a-compact perturbations of a closed linear operator (in general, unbounded and having an infinite-dimensional kernel) is proved. An application to integrodifferential equations is discussed.

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Bibliographic Details
Published in:Abstract and Applied Analysis 2006, Vol.2006 (1), p.174-186
Main Authors: Antonyan, Sergey A., Balanov, Zalman I., Gel′man, Boris D.
Format: Article
Language:English
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Summary:A variant of the Bourgin-Yang theorem for a-compact perturbations of a closed linear operator (in general, unbounded and having an infinite-dimensional kernel) is proved. An application to integrodifferential equations is discussed.
ISSN:1085-3375
1687-0409
DOI:10.1155/AAA/2006/78928