ENGLISH

An F-space Sampler

By J. W. Roberts , N. J. Kalton , N. T. Peck

Book information

Publisher
Cambridge University Press
Year
1985
ISBN
0521275857, 9780521275859
Language
english
Format
PDF
Filesize
9 MB (9699566 bytes)
Series
London Mathematical Society Lecture Note Series
Edition
1
Pages
256\252
Time added
2015-08-26 16:29:29
Reference Test Preparation Almanacs Yearbooks Atla

Description

This book presents a theory motivated by the spaces LP, 0 ≤ 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.

Similar books