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Title: Multipliers on Spaces of Functions on a Locally Compact Abelian Group with Values in a Hilbert Space
Authors: Petkova, Violeta
Keywords: Multipliers
Spaces of Vector-Valued Functions
Issue Date: 2006
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 32, No 2-3, (2006), 215p-226p
Abstract: We prove a representation theorem for bounded operators commuting with translations on L2ω(G,H), where G is a locally compact abelian group, H is a Hilbert space and ω is a weight on G. Moreover, in the particular case when G = R, we characterize completely the spectrum of the shift operator S1,ω on Lω2(R,H).
Description: 2000 Mathematics Subject Classification: Primary 43A22, 43A25.
ISSN: 1310-6600
Appears in Collections:Volume 32, Number 2-3

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