Abstract and Applied Analysis

Bourgin-Yang-type theorem for a -compact perturbations of closed operators. Part I. The case of index theories with dimension property

Sergey A. Antonyan, Zalman I. Balanov, and Boris D. Gel'man

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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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Abstr. Appl. Anal., Volume 2006, Special Issue (2006), Article ID 78928, 13 pages.

First available in Project Euclid: 19 March 2007

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Antonyan, Sergey A.; Balanov, Zalman I.; Gel'man, Boris D. Bourgin-Yang-type theorem for $a$ -compact perturbations of closed operators. Part I. The case of index theories with dimension property. Abstr. Appl. Anal. 2006, Special Issue (2006), Article ID 78928, 13 pages. doi:10.1155/AAA/2006/78928. https://projecteuclid.org/euclid.aaa/1174321752

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