Powiadomienia systemowe
- Sesja wygasła!
- Sesja wygasła!
- Sesja wygasła!
- Sesja wygasła!
Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
It is well known that there is a one-to-one correspondence between the characters of a finitely generated commutative Banach algebra and the joint spectrum of its generators. In this paper we show that this fact is also true for an arbitrary semitopological algebra and its continuous characters, provided we replace the concept of a joint spectrum by concept of a topological joint spectrum. In particular, we show that a finitely generated semitopological algebra has a continuous character if and only if the topological joint spectrum of its generators is non-void.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
859--864
Opis fizyczny
Bibliogr. 6 poz.
Twórcy
autor
- Mathematical Institute, Polish Academy of Sciences, Śniadeckich 8, PO Box 21, 00-956 Warsaw, Poland, zelazko@impan.gov.pl
Bibliografia
- ABEL, M. and ŻELAZKO, W. (2006) Topologically invertible elements and topological spectrum. Bull. Pol. Acad. Sc. Math. 54, 257-271.
- ARENS, R.F. (1946) The space Lω and convex topological rings. Bull. Amer. Math. Soc. 52, 931-935.
- BIAŁYNICKI-BIRULA, A. and ŻELAZKO, W. (1957) On the multiplicative-linear functionals on the Cartesian product of algebras. Bull. Acad. Polon. Sc. 5, 201-203.
- LARSEN, R. (1973) Banach Algebras. New York.
- MICHAEL, E.A. (1952) Locally Multiplicatively-Convex Topological Algebras. Mem. Amer. Math. Soc. 11.
- ŻELAZKO, W. (1971) Selected Topics on Topological Algebras. Aarhus University Lecture Notes Series 31.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0017-0074