Banach algebra
Triviality of the generalized Lau product associated to a Banach algebra homomorphism
... Several papers have, as their raison d’ˆetre, the exploration of the generalized Lau product associated to a homomorphism T : B → A of Banach algebras. In this short note, we demonstrate that the general- ized Lau ...
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Banach algebra amenability and group algebras
... Now, since locally compact Abelian groups are amenable, a commutative Banach algebra 21 has property G if and only if there is a locally compact Abelian group G and a dense-ranged homomo[r] ...
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Solution and Generalized Ulam-Hyers Stability of a n-Dimensional Additive Functional Equation in Banach Space and Banach Algebra: Direct and Fixed Point Methods
... Equation in Banach Space and Banach Algebra: Direct and Fixed Point Methods In this section, the authors present the generalized Ulam-Hyers stability of the functional equation (1.5) i[r] ...
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F-cone metric spaces over Banach algebra
... metric spaces over Banach algebra. In Section , we discuss the topological properties. In Section , we introduce the notions of generalized Lipschitz and expansive maps. Section is devoted to deriving ...
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6. Representations for the generalized Drazin inverse in a Banach algebra
... of Banach algebras with applications to bounded linear operators on a Banach ...a Banach algebra is explicitly expressed in terms of a, b, and the generalized Drazin inverses of a and ...
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Solvability of Chandrasekhar’s Quadratic Integral Equations in Banach Algebra
... In this paper, we prove some results concerning the existence of solutions for some nonlinear functional-integral equations which contain various integral and functional equations that are considered in nonlinear ...
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Univalent functions in the Banach algebra of continuous functions
... Throughout this paper, C(T ) denotes the Banach algebra, with sup norm, of continuous complex-valued functions defined on a compact metric space T . Let B(f : r) be an open ball in C(T) centered at f ∈ C(T) ...
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Regulated Functions with values in the Banach Algebra of Quaternions
... of Banach algebra is transferred to the space of regulated ...real Banach algebra with multiplication x × ...real Banach algebra ...
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Structure of Certain Banach Algebra Products
... is a surjective isometric algebra isomorphism. Remark 1.4 (i ) Let A and B be Banach algebras. A × α , β B is a strongly splitting Banach algebra extension of A by B . In other words, B is a ...
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30. Intuitionistic fuzzy Banach algebra
... In this paper, we introduce intuitionistic fuzzy Banach algebra. In section 3 we define intuitionistic fuzzy normed algebra, intuitionistic fuzzy Banach algebra. In section 4 we study ...
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9. The higher duals of a Banach algebra induced by a bounded linear functional
... (2n − 1) − weakly amenable but is not (2n) − weakly amenable for any n ∈ N . Here we study a more general form of this example. Indeed, we equip a non-trivial product on a general Banach space turning it to a ...
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The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces
... certain Banach spaces E , the ideals of approximable, compact, strictly singular, and inessential operators in B (E) coincide, and that there is a unique minimal closed ideal in B (E) properly containing these ...
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Stability of Additive-Quadratic Functional Equation in Banach Space and Banach Algebra: Using Direct and Fixed Point Methods
... The study of stability problems for functional equations is related to a question of Ulams[24] concerning the stability of group homomorphism’s was affirmatively answered for Banach spaces by Hyers[9,10] for ...
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On the Banach algebra ℬ(lp(α))
... of Banach algebras of infinite ...of Banach algebras of bounded operators mapping l p (α) into itself and we are giving some results which extend the previous ...
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The lattice of closed ideals in the Banach algebra of operators on a certain dual Banach space
... Note that (1.1) is the dual Banach space of (1.2), and so the result of this note can be seen as a `dualization' of [8]. In fact, our strategy draws heavily on the methods introduced in [8]. However, the present ...
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Linear Essential Spectrum Compressors
... Banach algebra. In section 3 we describe linear maps ϕ from a C ∗ -algebra of real rank zero onto a semisimple Banach algebra that preserve Atkinson elements and the ones that compress ...
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The algebraic structure of topological algebras
... The structure of the ideals, in particular the prime ideals, of Frechet and Banach algebras is examined and we show that no infinite dimensional separable Banach algebra can be a locally[r] ...
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Module Extension Banach Algebras and (sigma,tau)-amenability
... a Banach algebra and σ be a continuous homomorphisms on A ...The Banach algebra A is called approximately σ-contractible, if for each Banach A -bimodule X and σ-derivation D : A −→ X , ...
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Weighted Convolution Measure Algebras Characterized by Convolution Algebras
... Keywords: Weighted semigroup algebra; Arens product; Amenable Banach algebra.. 2000 Mathematics Subject Classification..[r] ...
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Completely Continuous Banach Algebras
... amenable Banach algebra A with the approximation property such that every bounded linear map from A to A ∗ is compact, has to be ...More Banach algebras fails such a strong property, however l p with ...
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