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

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.

Bibliographic Details
Main Authors: Sergey A. Antonyan, Zalman I. Balanov, Boris D. Gel'man
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA/2006/78928
id doaj-295f019d35524ef0b770b5487e220023
record_format Article
spelling doaj-295f019d35524ef0b770b5487e2200232020-11-24T22:20:50ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092006-01-01200610.1155/AAA/2006/7892878928Bourgin-Yang-type theorem for a-compact perturbations of closed operators. Part I. The case of index theories with dimension propertySergey A. Antonyan0Zalman I. Balanov1Boris D. Gel'man2Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México, México DF 04510, MexicoDepartment of Mathematics and Computer Science, Netanya Academic College, Netanya 42365, IsraelFaculty of Mathematics, Voronezh State University, 1 Universitetskaya Pl., Voronezh 394006, RussiaA 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.http://dx.doi.org/10.1155/AAA/2006/78928
collection DOAJ
language English
format Article
sources DOAJ
author Sergey A. Antonyan
Zalman I. Balanov
Boris D. Gel'man
spellingShingle Sergey A. Antonyan
Zalman I. Balanov
Boris D. Gel'man
Bourgin-Yang-type theorem for a-compact perturbations of closed operators. Part I. The case of index theories with dimension property
Abstract and Applied Analysis
author_facet Sergey A. Antonyan
Zalman I. Balanov
Boris D. Gel'man
author_sort Sergey A. Antonyan
title Bourgin-Yang-type theorem for a-compact perturbations of closed operators. Part I. The case of index theories with dimension property
title_short Bourgin-Yang-type theorem for a-compact perturbations of closed operators. Part I. The case of index theories with dimension property
title_full Bourgin-Yang-type theorem for a-compact perturbations of closed operators. Part I. The case of index theories with dimension property
title_fullStr Bourgin-Yang-type theorem for a-compact perturbations of closed operators. Part I. The case of index theories with dimension property
title_full_unstemmed Bourgin-Yang-type theorem for a-compact perturbations of closed operators. Part I. The case of index theories with dimension property
title_sort bourgin-yang-type theorem for a-compact perturbations of closed operators. part i. the case of index theories with dimension property
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2006-01-01
description 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.
url http://dx.doi.org/10.1155/AAA/2006/78928
work_keys_str_mv AT sergeyaantonyan bourginyangtypetheoremforacompactperturbationsofclosedoperatorspartithecaseofindextheorieswithdimensionproperty
AT zalmanibalanov bourginyangtypetheoremforacompactperturbationsofclosedoperatorspartithecaseofindextheorieswithdimensionproperty
AT borisdgelman bourginyangtypetheoremforacompactperturbationsofclosedoperatorspartithecaseofindextheorieswithdimensionproperty
_version_ 1725773656651464704

Similar Items