Spectra of Invariant Uniform and Transform Algebras
نویسندگان
چکیده
منابع مشابه
Spectra of Invariant Uniform and Transform Algebras
For G a locally compact abelian group, any closed invariant proper subalgebra of CQ(G) has analytic discs in its spectrum. Related results are given for A(G) and B(G). For a compact group G it is an easy consequence of Bishop's generalized Stone-Weierstrass theorem and some well-known facts on representations that a proper (doubly) invariant uniform algebra on G cannot have G as its spectrum. (...
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For a ring R, denote by SpecΓ(κ,R) the κ-spectrum of the Γ-invariant of strongly uniform right R-modules. Recent realization techniques of Goodearl and Wehrung show that SpecΓ(א1 , R) is full for a suitable von Neumann regular algebra R, but the techniques do not extend to cardinals κ > א1. By a direct construction, we prove that for any field F and any regular uncountable cardinal κ there is a...
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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...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1983
ISSN: 0002-9947
DOI: 10.2307/1999362