Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Let s be the space of rapidly decreasing sequences. We give the spectral representation of normal elements in the Fréchet algebra L(s',s) of so-called smooth operators. We also characterize closed commutative *-subalgebras of L(s',s) and establish a Hölder continuous functional calculus in this algebra. The key tool is the property (DN) of s.
Słowa kluczowe
Kategorie tematyczne
- 46L05: General theory of C * -algebras
- 46H35: Topological algebras of operators \SeeMainly{}
- 46K10: Representations of topological algebras with involution
- 46H15: Representations of topological algebras
- 46H30: Functional calculus in topological algebras
- 46J25: Representations of commutative topological algebras
- 46A11: Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
Czasopismo
Rocznik
Tom
Numer
Strony
145-166
Opis fizyczny
Daty
wydano
2013
Twórcy
autor
- Faculty of Mathematics and Computer Science, A. Mickiewicz University in Poznań, Umultowska 87, 61-614 Poznań, Poland
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-sm218-2-3