Results 81 to 90 of about 877 (187)

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 algebras which are ideals in a Banach algebra [PDF]

Pacific Journal of Mathematics, 1971
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THE DERIVED ALGEBRA OF A BANACH ALGEBRA [PDF]

Proceedings of the National Academy of Sciences, 1954
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Hermitian Banach *-algebras [PDF]

Bulletin of the American Mathematical Society, 1972
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Amenability in Group Algebras and Banach Algebras.

MATHEMATICA SCANDINAVICA, 1994
There are many known examples of Banach algebras \(\mathfrak A\) that can be shown to be amenable by the construction of a dense-ranged homomorphism from the group algebra of an amenable group into \(\mathfrak A\). To answer the question of whether this criterion is necessary for amenability, many amenable Banach algebras are constructed for which ...
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Correction to: “Banach algebras which are ideals in a banach algebra” [PDF]

Pacific Journal of Mathematics, 1971
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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
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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

Additive Functional Inequalities in Banach Modules

Journal of Inequalities and Applications, 2008
We investigate the following functional inequality in Banach modules over a -algebra and prove the generalized Hyers-Ulam stability of linear mappings in Banach modules over a -algebra in the spirit of the Th. M. Rassias stability approach. Moreover,
An JongSu, Moradlou Fridoun, Park Choonkil   +2 more
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Banach algebra bundles [PDF]

Pacific Journal of Mathematics, 1969
openaire   +3 more sources