Power boundedness in Fourier and Fourier–Stieltjes algebras and other commutative Banach algebras
نویسندگان
چکیده
منابع مشابه
Derivations of Commutative Banach Algebras
In [2] Singer and Wermer showed that a bounded derivation in a commutative Banach algebra 21 necessarily maps 21 into the radical 91. They conjectured at this time that the assumption of boundedness could be dropped. It is a corollary of results proved below that if 21 is in addition regular and semi-simple, this is indeed the case. What is actually proved here is that under the above hypothese...
متن کاملRegularities and subspectra for commutative Banach algebras
The set G(B) of invertible elements of B is the main example of a regularity. As was proved in [4], the set of elements of B which are not topological zero divisors is also a regularity. In the present paper, we investigate a construction of joint spectra in B by means of regularities in B. Let σ(a)= {μ∈ C | a−μe ∈G(B)} be the ordinary spectrum in B. Recall that according to the terminology int...
متن کاملOn the boundedness of almost multipliers on certain Banach algebras
Almost multiplier is rather a new concept in the theory of almost functions. In this paper we discussion the boundedness of almost multipliers on some special Banach algebras, namely stable algebras. We also define an adjoint and extension for almost multiplier.
متن کاملDense Morphisms in Commutative Banach Algebras
Using a new notion of stability we compute exactly the stable rank of the polydisc algebra, extend Oka's extension theorem to «-tuples of functions without common zeros and give an estimation for a question raised by Swan concerning the stable rank of a dense subalgebra of a given Banach algebra. 0. Introduction. The stable rank of a ring A [2] is an algebraic invariant of A which turns out to ...
متن کاملamenability 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 اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2011
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2010.11.012