Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2527

 Title: Multipliers on Spaces of Functions on a Locally Compact Abelian Group with Values in a Hilbert Space Authors: Petkova, Violeta Keywords: MultipliersTranslationsSpaces 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. URI: http://hdl.handle.net/10525/2527 ISSN: 1310-6600 Appears in Collections: Volume 32, Number 2-3

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