COLLOQUIUM
DEPARTMENT OF MATHEMATICS AND
STATISTICS
OAKLAND UNIVERSITY
ROCHESTER, MICHIGAN
48309
Patrick Dowling
Miami University
Weak Grothendieck Compactness Principles
Abstract
In 1955, Grothendieck proved that every norm compact set in a Banach space is contained in the closed convex hull of a sequence which converges to zero in norm. It is known that if the norm topology is replaced by some weaker topology, then an analogue of Grothendieck's result need not hold. In this talk we will find all the Banach spaces for which the analogue of Grothendieck's result hold for the weak topology. Other variants of Grothendieck's result will also be obtained. This is joint work with Dan Freeman, Chris Lennard, Ted Odell, Beata Randrianantoanina and Barry Turett.
Thursday, April 14, 2011
2:30 – 3:30
P.M.
372 Science
and Engineering Building
(Refreshments at 2:00-2:30 PM in
the kitchen area adjacent to 368 SEB)