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Eigenvalues, embeddings and generalised trigonometric functions
The main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers wit...
Autores principales: | , |
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Lenguaje: | eng |
Publicado: |
Springer
2011
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/978-3-642-18429-1 http://cds.cern.ch/record/1691777 |
_version_ | 1780935826960547840 |
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author | Lang, Jan Edmunds, David |
author_facet | Lang, Jan Edmunds, David |
author_sort | Lang, Jan |
collection | CERN |
description | The main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers with a view to the classification of operators according to the way in which these numbers approach a limit: approximation numbers provide an especially important example of such numbers. The asymptotic behavior of the s-numbers of Hardy operators acting between Lebesgue spaces is determined here in a wide variety of cases. The proof methods involve the geometry of Banach spaces and generalized trigonometric functions; there are connections with the theory of the p-Laplacian. |
id | cern-1691777 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2011 |
publisher | Springer |
record_format | invenio |
spelling | cern-16917772021-04-21T21:07:09Zdoi:10.1007/978-3-642-18429-1http://cds.cern.ch/record/1691777engLang, JanEdmunds, DavidEigenvalues, embeddings and generalised trigonometric functionsMathematical Physics and MathematicsThe main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers with a view to the classification of operators according to the way in which these numbers approach a limit: approximation numbers provide an especially important example of such numbers. The asymptotic behavior of the s-numbers of Hardy operators acting between Lebesgue spaces is determined here in a wide variety of cases. The proof methods involve the geometry of Banach spaces and generalized trigonometric functions; there are connections with the theory of the p-Laplacian.Springeroai:cds.cern.ch:16917772011 |
spellingShingle | Mathematical Physics and Mathematics Lang, Jan Edmunds, David Eigenvalues, embeddings and generalised trigonometric functions |
title | Eigenvalues, embeddings and generalised trigonometric functions |
title_full | Eigenvalues, embeddings and generalised trigonometric functions |
title_fullStr | Eigenvalues, embeddings and generalised trigonometric functions |
title_full_unstemmed | Eigenvalues, embeddings and generalised trigonometric functions |
title_short | Eigenvalues, embeddings and generalised trigonometric functions |
title_sort | eigenvalues, embeddings and generalised trigonometric functions |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/978-3-642-18429-1 http://cds.cern.ch/record/1691777 |
work_keys_str_mv | AT langjan eigenvaluesembeddingsandgeneralisedtrigonometricfunctions AT edmundsdavid eigenvaluesembeddingsandgeneralisedtrigonometricfunctions |