English

Convex-transitivity of Banach algebras via ideals

Functional Analysis 2011-06-08 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1106.1292,
  title  = {Convex-transitivity of Banach algebras via ideals},
  author = {Jarno Talponen},
  journal= {arXiv preprint arXiv:1106.1292},
  year   = {2011}
}

Comments

18 pages