Interpolation functors and interpolation spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
North-Holland
1991-
|
| Schriftenreihe: | North-Holland mathematical library
v. 47 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz but had its first flowering in the years around 1960 with the pioneering work of Aronszajn, Calder̤n, Gagliardo, Krein, Lions and a few others. It is interesting to note that what originally triggered off this avalanche were concrete problems in the theory of elliptic boundary value problems related to the scale of Sobolev spaces. Later on, applications were found in many other areas of mathematics: harmonic analysis, approximation theory, theoretical numerical analysis, geometry of Banach spaces, nonlinear functional analysis, etc. Besides this the theory has a considerable internal beauty and must by now be regarded as an independent branch of analysis, with its own problems and methods. Further development in the 1970s and 1980s included the solution by the authors of this book of one of the outstanding questions in the theory of the real method, the K-divisibility problem. In a way, this book harvests the results of that solution, as well as drawing heavily on a classic paper by Aronszajn and Gagliardo, which appeared in 1965 but whose real importance was not realized until a decade later. This includes a systematic use of the language, if not the theory, of categories. In this way the book also opens up many new vistas which still have to be explored. This volume is the first of three planned books. Volume II will deal with the complex method, while Volume III will deal with applications Includes bibliographical references and index |
| Beschreibung: | 1 Online-Ressource (volumes <1>) |
| ISBN: | 9780444880017 0444880011 |
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| 500 | |a The theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz but had its first flowering in the years around 1960 with the pioneering work of Aronszajn, Calder̤n, Gagliardo, Krein, Lions and a few others. It is interesting to note that what originally triggered off this avalanche were concrete problems in the theory of elliptic boundary value problems related to the scale of Sobolev spaces. Later on, applications were found in many other areas of mathematics: harmonic analysis, approximation theory, theoretical numerical analysis, geometry of Banach spaces, nonlinear functional analysis, etc. Besides this the theory has a considerable internal beauty and must by now be regarded as an independent branch of analysis, with its own problems and methods. Further development in the 1970s and 1980s included the solution by the authors of this book of one of the outstanding questions in the theory of the real method, the K-divisibility problem. In a way, this book harvests the results of that solution, as well as drawing heavily on a classic paper by Aronszajn and Gagliardo, which appeared in 1965 but whose real importance was not realized until a decade later. This includes a systematic use of the language, if not the theory, of categories. In this way the book also opens up many new vistas which still have to be explored. This volume is the first of three planned books. Volume II will deal with the complex method, while Volume III will deal with applications | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 7 | |a Functor theory |2 fast | |
| 650 | 7 | |a Interpolation spaces |2 fast | |
| 650 | 7 | |a Linear topological spaces |2 fast | |
| 650 | 7 | |a Espaces vectoriels topologiques |2 ram | |
| 650 | 7 | |a Foncteurs, théorie des |2 ram | |
| 650 | 7 | |a Espaces d'interpolation |2 ram | |
| 650 | 4 | |a Linear topological spaces | |
| 650 | 4 | |a Functor theory | |
| 650 | 4 | |a Interpolation spaces | |
| 700 | 1 | |a Krugljak, N. Ya |e Sonstige |4 oth | |
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Datensatz im Suchindex
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| author | Brudnyĭ, I͡U. A. |
| author_facet | Brudnyĭ, I͡U. A. |
| author_role | aut |
| author_sort | Brudnyĭ, I͡U. A. |
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| bvnumber | BV042317812 |
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| dewey-full | 515/.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.73 |
| dewey-search | 515/.73 |
| dewey-sort | 3515 273 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV042317812 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:17Z |
| institution | BVB |
| isbn | 9780444880017 0444880011 |
| language | English |
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| publishDate | 1991 |
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| spelling | Brudnyĭ, I͡U. A. Verfasser aut Interpolation functors and interpolation spaces Yu. A. Brudnyĭ, N. Ya. Krugljak ; [translated from the Russian by Natalie Wadhwa] Amsterdam North-Holland 1991- 1 Online-Ressource (volumes <1>) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematical library v. 47 The theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz but had its first flowering in the years around 1960 with the pioneering work of Aronszajn, Calder̤n, Gagliardo, Krein, Lions and a few others. It is interesting to note that what originally triggered off this avalanche were concrete problems in the theory of elliptic boundary value problems related to the scale of Sobolev spaces. Later on, applications were found in many other areas of mathematics: harmonic analysis, approximation theory, theoretical numerical analysis, geometry of Banach spaces, nonlinear functional analysis, etc. Besides this the theory has a considerable internal beauty and must by now be regarded as an independent branch of analysis, with its own problems and methods. Further development in the 1970s and 1980s included the solution by the authors of this book of one of the outstanding questions in the theory of the real method, the K-divisibility problem. In a way, this book harvests the results of that solution, as well as drawing heavily on a classic paper by Aronszajn and Gagliardo, which appeared in 1965 but whose real importance was not realized until a decade later. This includes a systematic use of the language, if not the theory, of categories. In this way the book also opens up many new vistas which still have to be explored. This volume is the first of three planned books. Volume II will deal with the complex method, while Volume III will deal with applications Includes bibliographical references and index Functor theory fast Interpolation spaces fast Linear topological spaces fast Espaces vectoriels topologiques ram Foncteurs, théorie des ram Espaces d'interpolation ram Linear topological spaces Functor theory Interpolation spaces Krugljak, N. Ya Sonstige oth http://www.sciencedirect.com/science/book/9780444880017 Verlag Volltext |
| spellingShingle | Brudnyĭ, I͡U. A. Interpolation functors and interpolation spaces Functor theory fast Interpolation spaces fast Linear topological spaces fast Espaces vectoriels topologiques ram Foncteurs, théorie des ram Espaces d'interpolation ram Linear topological spaces Functor theory Interpolation spaces |
| title | Interpolation functors and interpolation spaces |
| title_auth | Interpolation functors and interpolation spaces |
| title_exact_search | Interpolation functors and interpolation spaces |
| title_full | Interpolation functors and interpolation spaces Yu. A. Brudnyĭ, N. Ya. Krugljak ; [translated from the Russian by Natalie Wadhwa] |
| title_fullStr | Interpolation functors and interpolation spaces Yu. A. Brudnyĭ, N. Ya. Krugljak ; [translated from the Russian by Natalie Wadhwa] |
| title_full_unstemmed | Interpolation functors and interpolation spaces Yu. A. Brudnyĭ, N. Ya. Krugljak ; [translated from the Russian by Natalie Wadhwa] |
| title_short | Interpolation functors and interpolation spaces |
| title_sort | interpolation functors and interpolation spaces |
| topic | Functor theory fast Interpolation spaces fast Linear topological spaces fast Espaces vectoriels topologiques ram Foncteurs, théorie des ram Espaces d'interpolation ram Linear topological spaces Functor theory Interpolation spaces |
| topic_facet | Functor theory Interpolation spaces Linear topological spaces Espaces vectoriels topologiques Foncteurs, théorie des Espaces d'interpolation |
| url | http://www.sciencedirect.com/science/book/9780444880017 |
| work_keys_str_mv | AT brudnyiiua interpolationfunctorsandinterpolationspaces AT krugljaknya interpolationfunctorsandinterpolationspaces |