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Conference in Honor of Alexander Arhangelskii
June 29 - July 3, 2003
Brooklyn College of the City University of New York
Brooklyn, NY, USA

Organizers
Raushan Buzyakova, Ralph Kopperman, Gerald Itzkowitz, Raymond Gittings, Susan Andima, Oleg Pavlov, Oleg Okunev, Dennis Burke, Vladimir Uspenskii, Witold Marciszewski, Stephen Watson, Hans-Peter Kunzi

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Double limits and the distance to spaces of continuous functions
by
Witold Marciszewski
Vrije Universiteit Amsterdam and University of Warsaw
Coauthors: Bernardo Cascales and Matias Raja

M. Fabian, P. Hajek, V. Montesinos, V. Zizler, and A.S. Granero have recently proved some quantitative extensions of classical Grothendieck's characterization of relatively weak compactness of subsets of Banach spaces in terms of double limits and Krein's Theorem on convex hulls of weakly compact sets. We will discuss some counterparts of these quantitative results in the context of spaces Cp(X) of continuous real-valued functions on X. Here, Cp(X) is equipped with the pointwise convergence topology. This is a joint research with Bernardo Cascales and Matias Raja.

Date received: June 5, 2003

Copyright © 2003 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 # cajv-61.