Topological type of weakly closed subgroups in Banach spaces

Tom 118 / 1996

Tadeusz Dobrowolski, , Studia Mathematica 118 (1996), 49-62 DOI: 10.4064/sm-118-1-49-62

Streszczenie

The main result says that nondiscrete, weakly closed, containing no nontrivial linear subspaces, additive subgroups in separable reflexive Banach spaces are homeomorphic to the complete Erdős space. Two examples of such subgroups in $ℓ^1$ which are interesting from the Banach space theory point of view are discussed.

Autorzy

  • Tadeusz Dobrowolski


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