Some Topics in Functional Analysis and Operator Theory (Out of Print)

Preface
Preliminaies
1.Vector bornologies
2.Elementary duality theory
3.Grothendieck’s completeness theorem and the Banach-Diedonne theorem
4.A structure theorem for compact sets in Banach spaces
5.Finite operators and the trace duality
6.Some consequences of the metric approximation property and of the principle of local reflexivity
7.Criteria of continuity for linear mappings with l1(∧) or co(∧) or l8 (∧); applications to facoring operators
8.Exentsion property and lifting property
9.Critria of weak compactness, compactness and complete continuity for operators with l1 or co or l8 as domains or ranges contained in either l1 or co or l8; applications
10.some recent results on compact operators, completely continuous operators and weakly compact operators
11.Strictly singular and strictly co-singular operators
12.Absolutely summing operators, integral operators and nuclear operators
13.An introduction to operator ideals
14.Duality theory in ordered vector spaces
Reference
Index