Uniqueness of uniform norm and C-norm in L p(G, ω)

Uniqueness of uniform norm and C-norm in L p(G, ω)

Let G be a locally compact abelian group with a fixed Haar measure and ω be a weight on G. For 1 < p < ∞, we study uniqueness of uniform and C*-norm properties of the invariant weighted algebra L p(G, ω).

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Veröffentlicht in:Mathematica Slovaca 2014-04, Vol.64 (2), p.411-422
Hauptverfasser: Akbarbaglu, Ibrahim, Heydarpour, Majid, Maghsoudi, Saeid
Format: Artikel
Sprache:eng
Schlagworte:
C-norm
dual group
Gelfand space
Primary 43A62, 46A03
regularity
Secondary 43A20, 46H05, 46A70
uniform norm
weight function
weighted group algebra
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Zusammenfassung:Let G be a locally compact abelian group with a fixed Haar measure and ω be a weight on G. For 1 < p < ∞, we study uniqueness of uniform and C*-norm properties of the invariant weighted algebra L p(G, ω).
ISSN:1337-2211
1337-2211
DOI:10.2478/s12175-014-0214-x