نمونه دکتر فضا An F-space Sampler
- نوع فایل : کتاب
- زبان : انگلیسی
- نویسنده : N. J. Kalton ,N. T. Peck ,J. W. Roberts
- ناشر : Cambridge University Press
- چاپ و سال / کشور: 1985
- شابک / ISBN : 0521275857, 9780521275859
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.
