Abstract of a paper by A K Mirmostafaee
This is an announcement for the paper "A note on convex renorming and fragmentability" by A K Mirmostafaee. Abstract: Using the game approach to fragmentability, we give new and simpler proofs of the following known results: (a)~If the Banach space admits an equivalent Kadec norm, then its weak topology is fragmented by a metric which is stronger than the norm topology. (b)~If the Banach space admits an equivalent rotund norm, then its weak topology is fragmented by a metric. (c)~If the Banach space is weakly locally uniformly rotund, then its weak topology is fragmented by a metric which is stronger than the norm topology. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20, 54E99, 54H05 Citation: Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 2, May 2005, The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0508311 or http://arXiv.org/abs/math.FA/0508311 or by email in unzipped form by transmitting an empty message with subject line uget 0508311 or in gzipped form by using subject line get 0508311 to: math@arXiv.org.
participants (1)
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Dale Alspach