TY  - BOOK
AU  - Carothers,N.L.
TI  - A short course on Banach space theory
T2  - London Mathematical Society student texts
SN  - 9780511614057 (ebook)
AV  - QA322.2 .C37 2005
U1  - 515/.732 22
PY  - 2005///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Banach spaces
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: the elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can be traced back to Banach himself, our primary interest is in the postwar renaissance of Banach space theory brought about by James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their elegant and insightful results are useful in many contemporary research endeavors and deserve greater publicity. By way of prerequisites, the reader will need an elementary understanding of functional analysis and at least a passing familiarity with abstract measure theory. An introductory course in topology would also be helpful; however, the text includes a brief appendix on the topology needed for the course
UR  - https://doi.org/10.1017/CBO9780511614057
ER  -