On the algebra of smooth operators

• Autorzy: Tomasz Ciaś
• Języki publikacji: EN

Abstrakty

EN

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.

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.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 218
• Numer: 2
• Strony: 145-166

Daty

wydano

2013

Twórcy

autor

Tomasz Ciaś

• Faculty of Mathematics and Computer Science, A. Mickiewicz University in Poznań, Umultowska 87, 61-614 Poznań, Poland

Identyfikatory

DOI

10.4064/sm218-2-3