Weak amenability of Fourier algebras and local synthesis of the anti-diagonal
نویسندگان
چکیده
منابع مشابه
amenability of banach algebras
chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...
15 صفحه اولSmooth and Weak Synthesis of the Anti-diagonal in Fourier Algebras of Lie Groups
Let G be a Lie group of dimension n, and let A(G) be the Fourier algebra of G. We show that the anti-diagonal ∆̌G = {(g, g ) ∈ G × G | g ∈ G} is both a set of local smooth synthesis and a set of local weak synthesis of degree at most [ 2 ]+1 for A(G×G). We achieve this by using the concept of the cone property in [14]. For compact G, we give an alternative approach to demonstrate the preceding r...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2016
ISSN: 0001-8708
DOI: 10.1016/j.aim.2016.01.005