An F-space Sampler (London Mathematical Society Lecture Note

An F-space Sampler (London Mathematical Society Lecture Note Series Book 89)

This book presents a theory motivated by the spaces LP, 0 â‰¤ p < l. These spaces are not locally convex, so the methods usually encountered in linear analysis (particularly the Hahnâ€“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.
Country USA
Manufacturer Cambridge University Press
Binding Kindle Edition
ReleaseDate 1984-09-27
Format Kindle eBook

An F-space Sampler (London Mathematical Society Lecture Note Series Book 89)