Beurling algebras and uniform norms

• Autorzy: S. J. Bhatt , H. V. Dedania
• Języki publikacji: EN

Abstrakty

EN

Given a locally compact abelian group G with a measurable weight ω, it is shown that the Beurling algebra L¹(G,ω) admits either exactly one uniform norm or infinitely many uniform norms, and that L¹(G,ω) admits exactly one uniform norm iff it admits a minimum uniform norm.

Kategorie tematyczne

• 43A20: L 1 -algebras on groups, semigroups, etc.
• 46J05: General theory of commutative topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 160
• Numer: 2
• Strony: 179-183

Daty

wydano

2004

Twórcy

autor

S. J. Bhatt

• Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar 388 120, Gujarat, India

autor

H. V. Dedania

• Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar 388 120, Gujarat, India

Identyfikatory

DOI

10.4064/sm160-2-5