Results 111 to 120 of about 4,562 (230)
Hermitian Banach *-algebras [PDF]
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Amenability in Group Algebras and Banach Algebras.
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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Multilinear Trif Mappings in Banach Modules over a C-Algebra
[[abstract]]We prove the Hyers–Ulam–Rassias stability of multilinear Trif functional equations in Banach modules over a unital C ...
Chun-Gil Park
core
Completion of normed algebras of polunomials [PDF]
Let P be the algebra of polynomials in one inderminate x over the complex field C. Suppose xs2225 · xs2225 is a norm on P such that the coefficient functionals cj: ∑αix1 → αj (j = 0,1,2,…) are all continuous with respect to xs2225·xs2225, and Let K ...
Dales, H.G., McClure, J. P.
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Correction to: “Banach algebras which are ideals in a banach algebra” [PDF]
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Perturbation for the Group Inverse in a Banach Algebra
We present new additive results for the group inverse in a Banach algebra under certain perturbations. The upper bound of ∥(a+b)#−ad∥ is thereby given. These results extend the main results presented by Liu, Qin, and Wei.
Handan Kose +3 more
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The Arens-Calderon theorem for commutative topological algebras
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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THE DERIVED ALGEBRA OF A BANACH ALGEBRA [PDF]
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On James' Quasi-Reflexive Banach Space as a Banach Algebra
In [4] and [5], R. C. James introduced a non-reflexive Banach space J which is isometric to its second dual. Developing new techniques in the theory of Schauder bases, James identified J**, showed that the canonical image of J in J** is of codimension ...
William L. Green, Alfred D. Andrew
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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]
Liu X, Qin X.
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