Bourgin-Yang-type theorem for <mml:math> <mml:mi>a</mml:mi> </mml:math>-compact perturbations of closed operators. Part I. The case of index theories with dimension property

<p>A variant of the Bourgin-Yang theorem for <mml:math> <mml:mi>a</mml:mi> </mml:math>-compact perturbations of a closed linear operator (in general, unbounded and having an infinite-dimensional kernel) is proved. An application to integrodifferential equations is dis...

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Format: Article
Language:English
Published: Wiley 2006-01-01
Series:Abstract and Applied Analysis
Online Access:http://www.hindawi.com/GetArticle.aspx?doi=10.1155/AAA/2006/78928
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description <p>A variant of the Bourgin-Yang theorem for <mml:math> <mml:mi>a</mml:mi> </mml:math>-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.</p>
format Article
id doaj-art-65ebb198a45e4669b41ae03f17831c5f
institution Kabale University
issn 1085-3375
language English
publishDate 2006-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-65ebb198a45e4669b41ae03f17831c5f2025-02-03T06:48:07ZengWileyAbstract and Applied Analysis1085-33752006-01-012006Bourgin-Yang-type theorem for <mml:math> <mml:mi>a</mml:mi> </mml:math>-compact perturbations of closed operators. Part I. The case of index theories with dimension property<p>A variant of the Bourgin-Yang theorem for <mml:math> <mml:mi>a</mml:mi> </mml:math>-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.</p>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/AAA/2006/78928
spellingShingle Bourgin-Yang-type theorem for <mml:math> <mml:mi>a</mml:mi> </mml:math>-compact perturbations of closed operators. Part I. The case of index theories with dimension property
Abstract and Applied Analysis
title Bourgin-Yang-type theorem for <mml:math> <mml:mi>a</mml:mi> </mml:math>-compact perturbations of closed operators. Part I. The case of index theories with dimension property
title_full Bourgin-Yang-type theorem for <mml:math> <mml:mi>a</mml:mi> </mml:math>-compact perturbations of closed operators. Part I. The case of index theories with dimension property
title_fullStr Bourgin-Yang-type theorem for <mml:math> <mml:mi>a</mml:mi> </mml:math>-compact perturbations of closed operators. Part I. The case of index theories with dimension property
title_full_unstemmed Bourgin-Yang-type theorem for <mml:math> <mml:mi>a</mml:mi> </mml:math>-compact perturbations of closed operators. Part I. The case of index theories with dimension property
title_short Bourgin-Yang-type theorem for <mml:math> <mml:mi>a</mml:mi> </mml:math>-compact perturbations of closed operators. Part I. The case of index theories with dimension property
title_sort bourgin yang type theorem for mml math mml mi a mml mi mml math compact perturbations of closed operators part i the case of index theories with dimension property
url http://www.hindawi.com/GetArticle.aspx?doi=10.1155/AAA/2006/78928