Convex-transitivity of Banach algebras via ideals

Details Convex-transitivity of Banach algebras via ideals Convex-transitivity of Banach algebras via ideals

2011-06-07

arxiv.org/abs/1106.1292v1

Mathematics

Functional Analysis

18 pages

Scientific paper

We investigate a method for producing concrete convex-transitive Banach
spaces. The gist of the method is in getting rid of dissymmetries of a given
space by taking a carefully chosen quotient. The spaces of interest here are
typically Banach algebras and their ideals. We also investigate the
convex-transitivity of ultraproducts and tensor products of Banach spaces.

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