Multipliers on Spaces of Functions on a Locally Compact Abelian Group with Values in a Hilbert Space

Petkova, Violeta. "Multipliers on Spaces of Functions on a Locally Compact Abelian Group with Values in a Hilbert Space." Serdica Mathematical Journal 32.2-3 (2006): 215-226. <http://eudml.org/doc/281496>.

@article{Petkova2006,
abstract = {2000 Mathematics Subject Classification: Primary 43A22, 43A25.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).},
author = {Petkova, Violeta},
journal = {Serdica Mathematical Journal},
keywords = {Multipliers; Translations; Spaces of Vector-Valued Functions; multipliers; translations; spaces of vector-valued functions},
language = {eng},
number = {2-3},
pages = {215-226},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Multipliers on Spaces of Functions on a Locally Compact Abelian Group with Values in a Hilbert Space},
url = {http://eudml.org/doc/281496},
volume = {32},
year = {2006},
}

TY - JOUR
AU - Petkova, Violeta
TI - Multipliers on Spaces of Functions on a Locally Compact Abelian Group with Values in a Hilbert Space
JO - Serdica Mathematical Journal
PY - 2006
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 32
IS - 2-3
SP - 215
EP - 226
AB - 2000 Mathematics Subject Classification: Primary 43A22, 43A25.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).
LA - eng
KW - Multipliers; Translations; Spaces of Vector-Valued Functions; multipliers; translations; spaces of vector-valued functions
UR - http://eudml.org/doc/281496
ER -