Kalton, Nigel J.  1946- <br/><br/>
An F-space sampler / 
N.J. Kalton, N.T. Peck, James W. Roberts. 
 - Cambridge :  Cambridge University Press,  1984. 
 - 1 online resource (xii, 240 pages) :  digital, PDF file(s). 
 - London Mathematical Society lecture note series ;  89 .
 - London Mathematical Society lecture note series ;  89. .
<br/><br/> Title from publisher's bibliographic system (viewed on 05 Oct 2015). 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>9780511662447 (ebook) 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Function spaces.<br/>Metric spaces.
<br/><br/><label>LC Class. No.: </label>QA323  / .K35 1984 
<br/><br/><label>Dewey Class. No.: </label>515.7/3