Strong nuclearity of dual groups

• Autorzy: Banaszczyk W. , García N.
• Języki publikacji: EN

Abstrakty

EN

Strongly nuclear spaces were introduced by Martineau and Brudovskij in the sixties. It is known that the dual space of a metrizable nuclear space is not only nuclear, but even strongly nuclear. Nuclear groups were introduced in [4]. They form a class of abelian topological groups which is an analogue of the class of nuclear spaces. It was proved in [4] that the dual group of a metrizable nuclear group is a nuclear group again. In this paper we introduce strongly nuclear groups, an analogue of strongly nuclear spaces, and prove that the dual group of a metrizable nuclear group is strongly nuclear.

Słowa kluczowe

EN

dual group; nuclear group; nuclear space; strongly nuclear group; strongly nuclear space

PL

grupa dualna; grupa jądrowa; przestrzeń jądrowa; grupa silnie jądrowa; przestrzeń silnie jądrowa

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2003
• Tom: Vol. 51, no 1
• Strony: 75--91
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Banaszczyk W.

• Faculty of Mathematics, University of Łódź, ul. Banacha 22, 90-238 Łódź, Poland

autor

García N.

• Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain

Bibliografia

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