Results 81 to 90 of about 54,491 (191)

The Arens Algebras of Vector-Valued Functions

Journal of Function Spaces, 2014
A class of Arens algebras of vector Banach algebra valued functions is considered. It is shown that Arens algebra of vector-valued functions is complete locally convex metrizable algebra.
I. G. Ganiev, O. I. Egamberdiev
doaj   +1 more source

Spectral integration and spectral theory for non-Archimedean Banach spaces

International Journal of Mathematics and Mathematical Sciences, 2002
Banach algebras over arbitrary complete non-Archimedean fields are considered such that operators may be nonanalytic. There are different types of Banach spaces over non-Archimedean fields.
S. Ludkovsky, B. Diarra
doaj   +1 more source

Module amenability for Banach modules

Cubo, 2011
We study the module amenability of Banach modules. This is a natural generalization of Johnson’s amenability of Banach algebras. As an example we show that for a discrete abelian group G, l p(G) is amenable as an l¹(G)-module if and only if G is amenable,
D Ebrahimi Bagha, M Amini
doaj  

Ideal Amenability of Banach Algebras and Some Hereditary Properties [PDF]

Journal of Sciences, Islamic Republic of Iran, 2010
Let A be a Banach algebra. A is called ideally amenable if for every closed ideal I of A, the first cohomology group of A with coefficients in I* is trivial.
M. Eshaghi Gordji
doaj  

Hermitian Banach *-algebras [PDF]

Bulletin of the American Mathematical Society, 1972
openaire   +2 more sources

Algebraic bases of some algebras of polynomials on Banach spaces

Математичні Студії
The work is devoted to the study of algebraic bases of algebras of continuous polynomials on real and complex Banach spaces. A subset of an algebra is called an algebraic basis if every element of the algebra can be uniquely represented as a linear ...
R. V. Ponomarov, T. V. Vasylyshyn
doaj   +1 more source

Banach algebra bundles [PDF]

Pacific Journal of Mathematics, 1969
openaire   +3 more sources

The Arens-Calderon theorem for commutative topological algebras

Extracta Mathematicae
A theorem of Arens and Calderon states that if A is a commutative Banach algebra with Jacobson radical Rad(A), and if a0 , . . . , an∈ A with a0 ∈ Rad(A) and a1 an invertible element of k A, then there exists y ∈ Rad(A) such that Σ ak yk = 0.
M. Weigt, I. Zarakas
doaj   +1 more source

Representations for the generalized Drazin inverse of the sum in a Banach algebra and its application for some operator matrices. [PDF]

ScientificWorldJournal, 2015
Liu X, Qin X.
europepmc   +1 more source