TY  - BOOK
AU  - Kalton,Nigel J.
AU  - Peck,N.T.
AU  - Roberts,James W.
TI  - An F-space sampler
T2  - London Mathematical Society lecture note series
SN  - 9780511662447 (ebook)
AV  - QA323 .K35 1984
U1  - 515.7/3 19
PY  - 1984///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Function spaces
KW  - Metric spaces
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511662447
ER  -