Banach-Algebras
Ultrapowers of banach algebras and modules
... Banach algebras which allow us to draw conclusions about ultrapowers. We investigate when ⋆ can actually be chosen to be an algebra homomorphism, and how these ideas interact with dual Banach ...
18
Spectral synthesis for Banach Algebras II
... of Banach algebras obtained by taking the Haagerup tensor product of two C ∗ ...these algebras, and it is easy to find examples where synthesis holds, and others where it ...the Banach ...
27
r Fredholm theory in Banach algebras
... our Banach algebras will be complex and unital (with unit ...a Banach algebra A by A −1 and the radical of A by ...are Banach algebras, then a linear operator T : A → B (not necessarily ...
24
On the stability of ∗ derivations on Banach ∗ algebras
... on Banach algebras in [, ] (for the stability of ternary quadratic derivations on ternary Banach algebras and C * -ternary rings, see ...
10
Banach algebras on groups and semigroups
... Noetherian Banach algebra is ...a Banach algebra is a very strong ...of Banach algebras is topological ...considering Banach algebras in which every closed left ideal is ...
171
Dual Banach algebras: Representations and injectivity
... In this section, we shall use some interpolation space theory to prove an analogous result for dual Banach algebras which does not seem to immediately follow from the results of Young (although the method ...
41
Triviality of the generalized Lau product associated to a Banach algebra homomorphism
... Motivated by a construction of M. S. Monfared [10], several authors have in recent years written papers on a certain construction, which manufactures a Banach algebra A × T B given a pair of Banach ...
5
Spectral integration and spectral theory for non Archimedean Banach spaces
... Banach algebras over arbitrary complete non-Archimedean fields are considered such that operators may be ...of Banach spaces over non- Archimedean ...sub- algebras of the Banach algebra ...
22
The structure of a subclass of amenable banach algebras
... a Banach algebra is called a reflexive Banach algebra if it is reflexive as a Banach ...contractible Banach algebra is ...contractible Banach algebras and [3, Corollary ...amenable ...
7
Asymptotic aspect of derivations in Banach algebras
... semisimple Banach algebra is ...on Banach algebras and we first study the conditions for a linear derivation on a Banach ...semiprime Banach algebras and a continuous linear ...
11
Amenability of Ultrapowers of Banach Algebras
... We study when certain properties of Banach algebras are stable under ultrapower constructions. In particular, we consider when every ultrapower of A is Arens regular, and give some evidence that this is so ...
32
Approximately Jordan Homomorphisms on Banach Algebras
... a Banach algebra into a semisimple commutative Banach algebra there corresponds a unique 3-ring homomorphism near to f, b to each approximate n-Jordan homomorphism h between two commutative Banach ...
8
Quasianalyticity in certain Banach function algebras
... Abstract. Let X be a perfect, compact subset of the complex plane. We consider algebras of those functions on X which satisfy a generalised notion of differentiability, which we call F-differentiability. In ...
21
Approximate ∗ derivations on fuzzy Banach ∗ algebras
... In , Ulam [] proposed the following question concerning stability of group ho- momorphisms: Under what condition is there an additive mapping near an approximately additive mapping? Hyers [] answered positively ...
13
Hahn difference equations in Banach algebras
... Here X is a commutative Banach algebra with a unit element e. We present the Hahn Wronskian in Banach algebras. We establish its properties. We determine whether the set of solutions is a fundamental ...
25
Ring homomorphisms on real Banach algebras
... real Banach algebra with the carrier space Φ B ...real Banach algebra, then we give a representation of a ring homomorphism ρ : A → B, which needs not be linear nor ...complex Banach algebra, then ...
5
Regularities and subspectra for commutative Banach algebras
... (noncommutative) Banach algebra by means of regularities appears in [1] by Kordula and M¨uller (see also ...commutative Banach algebra and characterizes those regularities and corresponding spectra which ...
9
The chain rule for F differentiation
... some algebras of infinitely F -differentiable func- tions, analogous to the algebras D(X, M ) introduced by Dales and Davie in [6] (see also the introduction of the present ...
16
Double multipliers on topological algebras
... algebras) using multipliers, while Van Daele [20] has considered multipliers on Hopf algebras which provide a natural framework to study quantum groups. Therefore, it is important to develop the theory of ...
8
Homomorphisms and derivations in induced fuzzy C∗ algebras
... Definition . Let (X, · ) be a normed C ∗ -algebra and N be a fuzzy norm on X. () The fuzzy normed ∗ -algebra (X, N) is called an induced fuzzy normed ∗ -algebra. () The fuzzy Banach ∗ -algebra (X, N) is called ...
12