Pseudo-contractibility Of Weighted Lp -Algebras

Let G be a locally compact group, 1 < p < ∞ and let ω be a weight function on G. Recently, we introduced the Lebesgue weighted Lp-algebra L1pω(G). Here, we establish necessary and sufficient conditions for L1pω(G) to be φ-contractible, pseudo-contractible or contractible. Moreover we give some...

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Main Author: Abtahi Fatemeh
Format: Article
Language:English
Published: Sciendo 2013-11-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.2478/auom-2013-0038
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author_facet Abtahi Fatemeh
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description Let G be a locally compact group, 1 < p < ∞ and let ω be a weight function on G. Recently, we introduced the Lebesgue weighted Lp-algebra L1pω(G). Here, we establish necessary and sufficient conditions for L1pω(G) to be φ-contractible, pseudo-contractible or contractible. Moreover we give some similar results about LP(G, ω).
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spelling doaj.art-bb23a9b369f647a6bf0a3665cf1fcfc52022-12-21T23:55:26ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352013-11-0121351610.2478/auom-2013-0038Pseudo-contractibility Of Weighted Lp -AlgebrasAbtahi Fatemeh0Department of Mathematics University of Isfahan, P. O. Box 81746-73441, Isfahan, IranLet G be a locally compact group, 1 < p < ∞ and let ω be a weight function on G. Recently, we introduced the Lebesgue weighted Lp-algebra L1pω(G). Here, we establish necessary and sufficient conditions for L1pω(G) to be φ-contractible, pseudo-contractible or contractible. Moreover we give some similar results about LP(G, ω).https://doi.org/10.2478/auom-2013-0038contractiblelebesgue weighted lp-algebraφ-contractiblepseudo- contractibleweight function
spellingShingle Abtahi Fatemeh
Pseudo-contractibility Of Weighted Lp -Algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
contractible
lebesgue weighted lp-algebra
φ-contractible
pseudo- contractible
weight function
title Pseudo-contractibility Of Weighted Lp -Algebras
title_full Pseudo-contractibility Of Weighted Lp -Algebras
title_fullStr Pseudo-contractibility Of Weighted Lp -Algebras
title_full_unstemmed Pseudo-contractibility Of Weighted Lp -Algebras
title_short Pseudo-contractibility Of Weighted Lp -Algebras
title_sort pseudo contractibility of weighted lp algebras
topic contractible
lebesgue weighted lp-algebra
φ-contractible
pseudo- contractible
weight function
url https://doi.org/10.2478/auom-2013-0038
work_keys_str_mv AT abtahifatemeh pseudocontractibilityofweightedlpalgebras