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Reduced Crossed Products of Pro-Banach Algebras
This paper gives the concept of the reduced pro-Banach algebra crossed product associated with inversely pro-Banach algebra dynamical system, and...
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Characterizing Jordan homomorphisms
It is shown that every bounded, unital linear map** that preserves elements of square zero from a C *-algebra of real rank zero and without tracial...
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Characterization of two-sided generalized derivations
Let A be a unital semiprime, complex normed *-algebra and let f,g,h : A → A be linear map**s such that f and g + h are continuous. Under certain...
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A Bishop-Phelps-Bollobás Theorem for Asplund Operators
By characterizing Asplund operators through Fréchet differentiability property of convex functions, we show the following Bishop-Phelps-Bollobés...
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Maps Completely Preserving Fixed Points and Maps Completely Preserving Kernel of Operators
Let A and B be standard operator algebras on Banach spaces X and Y , respectively. In this paper, we show that every map completely preserving fixed...
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Linear maps that preserve semi-Fredholm operators acting on Banach spaces
We consider the linear maps φ : B ( X ) → B ( Y ) that preserve the semi-Fredholm operators in both directions or the essential spectrum of an operator,...
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What can be expected from a cubic derivation on finite dimensional algebras?
In this paper, we prove that every rank one cubic derivation on a unital integral domain is identically zero. From this conclusion, under certain...
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Spectrum of Weighted Composition Operators Part III: Essential Spectra of Some Disjointness Preserving Operators on Banach Lattices
We describe essential (in particular Fredholm and semi-Fredholm) spectra of operators on Banach lattices of the form T = wU, where w is a central... -
Applications of order-clustered fixed point theorems to generalized saddle point problems and preordered variational inequalities
In this paper, we introduce the concepts of preordered Banach spaces, generalized saddle points and preordered variational inequalities. Then we...
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Real-Linear Isometries and Jointly Norm-Additive Maps on Function Algebras
In this paper, we describe into real-linear isometries defined between (not necessarily unital) function algebras and show, based on an example, that...
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Power-Commuting Generalized Skew Derivations in Prime Rings
Let R be a non-commutative prime ring of characteristic different from 2 with extended centroid C , F ≠ 0 a generalized skew derivation of R , and n ...
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Local and global liftings of analytic families of idempotents in Banach algebras
Generalizing results of our earlier paper, we investigate the following question. Let π(λ): A → B be an analytic family of surjective homomorphisms...