Topological type of weakly closed subgroups in Banach spaces

• Autorzy: Tadeusz Dobrowolski , Janusz Grabowski , Kazuhiro Kawamura
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

additive subgroup of linear space; weakly closed; topological dimension; complete Erdős space; Lelek fan

Kategorie tematyczne

• 22A05: Structure of general topological groups
• 46B25: Classical Banach spaces in the general theory
• 54F45: Dimension theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1996
• Tom: 118
• Numer: 1
• Strony: 49-62

Daty

wydano

1996

poprawiono

1995-03-13

otrzymano

1995-09-26

Twórcy

autor

Tadeusz Dobrowolski

• Department of Mathematics, Pittsburg State University, Pittsburg, Kansas 66762, U.S.A.

autor

Janusz Grabowski

• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

autor

Kazuhiro Kawamura

• Institute of Mathematics, University of Tsukuba, Tsukuba-Shi, Ibaraki, 305, Japan

Bibliografia

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