Compact sets in Banach spaces
Abstract
Connections between several compact spaces are studied in this thesis.
Proofs are given when one implies another, and so are counterexamples when
one does not. The spaces discussed in this thesis are: uniform Eberlein -
compact (UEC) space, Eberlein - compact (EC) space, Talagrand - compact
(TC) space, Gul'ko - compact (GC) space, Corson - compact (CC) space,
Radon-Nikody'm - compact (RN) space, Rosenthal - compact (RC), Valdivia -
compact (VC) space. The main results are: (see document)
Collections
- Retrospective theses [1604]