منابع مشابه
real group algebras
in this paper we initiate the study of real group algebras and investigate some of its aspects.let l1 (g) be a group algebra of a locally compact group g,τ :g →g be a group homeomorphismsuch that τ 2 =τοτ = 1, the identity map, and lp (g,τ ) = { f ∈ lp (g) : fοτ = f } ( p ≥ 1) . in thispaper, among other results, we clarify the structure of lp (g,τ ) and characterize amenability ofl1 (g,τ ) and...
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In this paper we initiate the study of real group algebras and investigate some of its aspects. Let 1 L ) (G be a group algebra of a locally compact group G G G → : ,τ be a group homeomorphism such that 1 2 = = τοτ τ , the identity map, and } : ) ( { ) , ( f f G L f G L p p = ∈ = οτ τ ) 1 ( ≥ p . In this paper, among other results, we clarify the structure of ) , ( τ G L and characterize amenab...
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Let G be a reductive group in the Harish-Chandra class e.g. a connected semisimple Lie group with finite center, or the group of real points of a connected reductive algebraic group defined over R. Let σ be an involution of the Lie group G, H an open subgroup of the subgroup of fixed points of σ. One decomposes the elements of L(G/H) with the help of joint eigenfunctions under the algebra of le...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1970
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-10997