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...
Main Author: | |
---|---|
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 |
_version_ | 1818308829586128896 |
---|---|
author | Abtahi Fatemeh |
author_facet | Abtahi Fatemeh |
author_sort | Abtahi Fatemeh |
collection | DOAJ |
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). |
first_indexed | 2024-12-13T07:20:30Z |
format | Article |
id | doaj.art-bb23a9b369f647a6bf0a3665cf1fcfc5 |
institution | Directory Open Access Journal |
issn | 1844-0835 |
language | English |
last_indexed | 2024-12-13T07:20:30Z |
publishDate | 2013-11-01 |
publisher | Sciendo |
record_format | Article |
series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
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 |