Abstract and Applied Analysis
Volume 2006 (2006), Article ID 78928, 13 pages
doi:10.1155/AAA/2006/78928
Bourgin-Yang-type theorem for a-compact perturbations of closed operators. Part I. The case of index theories with dimension property
Sergey A. Antonyan1
, Zalman I. Balanov2
and Boris D. Gel'man3
1Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México, México DF 04510, Mexico
2Department of Mathematics and Computer Science, Netanya Academic College, Netanya 42365, Israel
3Faculty of Mathematics, Voronezh State University, 1 Universitetskaya Pl., Voronezh 394006, Russia
Abstract
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.