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Pseudo-contractibility Of Weighted Lp -Algebras Cover

Abstract

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).

DOI: https://doi.org/10.2478/auom-2013-0038 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 5 - 16
Published on: Mar 5, 2014
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2014 Fatemeh Abtahi, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.