<abstract xmlns="http://www.w3.org/1999/xhtml"> Let G be a locally compact group, 1 &lt; p &lt; ∞ 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). </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).

Pseudo-contractibility Of Weighted Lp -Algebras

Department of Mathematics University of Isfahan, P. O. Box 81746-73441, Isfahan, Iran

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Pseudo-contractibility Of Weighted L -Algebras

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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...

Pseudo-contractibility Of Weighted L^p -Algebras

Publié en ligne: 05 mars 2014

Pages: 5 - 16

DOI: https://doi.org/10.2478/auom-2013-0038

Mots clés
Contractible, Lebesgue weighted Lp-algebra, φ-contractible, pseudo- contractible, weight function

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