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On the Generalized Weighted Lebesgue Spaces of Locally Compact Groups
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-19
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Let G be a locally compact group with a fixed left Haar measure λ and Ω be a system of weights on G.
In this paper, we deal with locally convex space Lp(G,Ω) equipped with the locally convex topology generated by the family of norms (‖.‖p,ω)ω∈Ω.
We study various algebraic and topological properties of the locally convex space Lp(G,Ω).
In particular, we characterize its dual space and show that it is a semireflexive space.
Finally, we give some conditions under which Lp(G,Ω) with the convolution multiplication is a topological algebra and then characterize its closed ideals and its spectrum.
American Psychological Association (APA)
Akbarbaglu, I.& Maghsoudi, S.. 2011. On the Generalized Weighted Lebesgue Spaces of Locally Compact Groups. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-510515
Modern Language Association (MLA)
Akbarbaglu, I.& Maghsoudi, S.. On the Generalized Weighted Lebesgue Spaces of Locally Compact Groups. Abstract and Applied Analysis No. 2011 (2011), pp.1-15.
https://search.emarefa.net/detail/BIM-510515
American Medical Association (AMA)
Akbarbaglu, I.& Maghsoudi, S.. On the Generalized Weighted Lebesgue Spaces of Locally Compact Groups. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-510515
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510515