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17th "Summer" Conference on Topology and Applications
July 1-4, 2002
University of Auckland
Auckland, New Zealand

Organizers
David Gauld (University of Auckland), Sina Greenwood (University of Auckland), David McIntyre (University of Auckland), Warren Moors (Waikato University), Sidney Morris (University of South Australia), Vladimir Pestov (Victoria University Wellington), Ivan Reilly (University of Auckland), Des Robbie (University of Melbourne)

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Big Banach spaces are decomposable
by
David Yost
King Saud University
Coauthors: A.M. Plichko (Pedagogical University, Kirovograd)

Recent remarkable results due to Gowers and Maurey show that there are Banach spaces for which no subspace can be written as a non-trivial direct sum. It is known that all such examples have cardinality equal to the continuum. We show that all ``sufficiently large" Banach spaces are decomposable under some mild conditions on the unit ball of the dual space (e.g. if it is angelic or has countable tightness in the weak* topology).

Date received: April 11, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cait-05.