Topologically invertible elements and topological spectrum

• Autorzy: Abel M. , Żelazko W.
• Języki publikacji: EN

Abstrakty

EN

Properties of topologically invertible elements and the topological spectrum of elements in unital semitopological algebras are studied. It is shown that the inversion χ → χ-1 is continuous in every invertive Frechet algebra, and singly generated unital semi-topologicai algebras have continuous characters if and only if the topological spectrum of the generator is non-empty. Several open problems are presented,

Słowa kluczowe

EN

topologically invertible elements; topological spectrum; spectral mapping property; discontinuity inversion; functional topological spectrum

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2006
• Tom: Vol. 54, no 3-4
• Strony: 257--271
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Abel M.

autor

Żelazko W.

• Institute of Pure Mathematics, University of Tartu, Liivi 2-614, 50409 Tartu, Estonia,

Bibliografia

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