An F-space sampler /
This book presents a theory motivated by the spaces LP, 0 d"p <l. These spaces are not locally convex, so the methods usually encountered in linear analysis (particularly the Hahn-Banach theorem) do not apply here. Questions about the size of the dual space are especially important in the no...
Clasificación: | Libro Electrónico |
---|---|
Autor principal: | |
Otros Autores: | , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1984.
|
Colección: | London Mathematical Society lecture note series ;
89. |
Temas: | |
Acceso en línea: | Texto completo |
Sumario: | This book presents a theory motivated by the spaces LP, 0 d"p <l. These spaces are not locally convex, so the methods usually encountered in linear analysis (particularly the Hahn-Banach theorem) do not apply here. Questions about the size of the dual space are especially important in the non-locally convex setting, and are a central theme. Several of the classical problems in the area have been settled in the last decade, and a number of their solutions are presented here. The book begins with concrete examples (lp, LP, L0, HP) before going on to general results and important counterexamples. An F-space sampler will be of interest to research mathematicians and graduate students in functional analysis |
---|---|
Descripción Física: | 1 online resource (xii, 240 pages) |
Bibliografía: | Includes bibliographical references (pages 226-237). |
ISBN: | 9781107398405 1107398401 9780511662447 0511662440 9781107387157 1107387159 9781107389984 1107389984 1139883925 9781139883924 1107383544 9781107383548 |