The strongest vector space topology is locally convex on separable linear subspaces

• Autorzy: W. Żelazko
• Języki publikacji: EN

Abstrakty

EN

Let X be a real or complex vector space equipped with the strongest vector space topology $τ_{max}$. Besides the result announced in the title we prove that X is uncountable-dimensional if and only if it is not locally pseudoconvex.

Słowa kluczowe

EN

topological vector spaces; locally pseudoconvex spaces; locally convex subspaces

Kategorie tematyczne

• 46A16: Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1997
• Tom: 66
• Numer: 1
• Strony: 275-282

Daty

wydano

1997

otrzymano

1995-04-26

Twórcy

autor

W. Żelazko

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O. Box 137, 00-950 Warszawa, Poland

Bibliografia

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