A note on some isomorphic properties in projective tensor products

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A note on some isomorphic properties in projective tensor products

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Title: A note on some isomorphic properties in projective tensor products
Author: Ghenciu, Ioana
Abstract: A Banach space X is sequentially Right (resp. weak sequentially Right) if every Right subset of X* is relatively weakly compact (resp. weakly precompact). A Banach space X has the L-limited (resp. the wL-limited) property if every L-limited subset of X* is relatively weakly compact (resp. weakly precompact). We study Banach spaces with the weak sequentially Right and the wL-limited properties. We investigate whether the projective tensor product of two Banach spaces X and Y has the sequentially Right property when X and Y have the respective property.
URI: http://hdl.handle.net/10662/8923
Date: 2017


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