فهرست مطالب
Journal of Mathematical Analysis and its Contemporary Applications
Volume:2 Issue: 1, Spring 2020
- تاریخ انتشار: 1399/07/16
- تعداد عناوین: 6
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Pages 1-8For a bounded analytic map ψ on the unit disk D and analytic self-map φ of D, a weighted composition operator Cψ,φ on the Hardy space H2=H2(D) is defined by Cψ,φf= ψ·f°φ. In this paper, we study the asymptotically Toeplitzness of weighted composition operators and their adjoints in different topology on B(H2).Keywords: Hardy space, asymptotically Toeplitz operator, weighted composition operator
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Pages 9-16In this paper, a new simple direct method to solve nonlinear Fredholm-Volterra integral equations is presented. By using Block-pulse (BP) functions, their operational matrices and Taylor expansion a nonlinear Fredholm-Volterra integral equation converts to a nonlinear system. Some numerical examples illustrate accuracy and reliability of our solutions. Moreover, the effect of noise shows our method is stable.Keywords: Nonlinear Volterra-Fredholm integro-differential equation, Block-pulse functions, Taylor expansion, Operational matrices
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Pages 17-22In this paper, the generalized Hyers-Ulam stability of the functional inequality||f(a)+f(b)+cf(d)+f(c)d||≤||kf((a+b+cd)/k)||, |k|<|2|,in non-Archimedean Banach algebras is established.Keywords: Banach algebra, derivation, Generalized Hyers-Ulam stability, Non-Archimedean Banach algebra
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Pages 23-27In this article, we study locally finite inverse semigroup S and characterize the structure of idempotents of S which are either a well-ordered countable chain or union of disjoint well-ordered countable chains. We also prove that whenS is a locally finite Clifford semigroup, S is amenable if and only if minimal ideal of S is amenable.Keywords: amenability, inverse semigroup, Clifford semigroup, locally finite semigroup
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Pages 28-34Let X be a compact metric space with at least two elements, B be a unital commutative Banach algebra over the scalar field F=R or C, and α in R with 0<α≤1. Suppose that C(X,B) be the continuous, A(X,B) be the analytic, and Lipα(X,B) be the α-Lipschitz B-valued operator algebras on X. In this paper, we prove that the algebras Lip α(X,B) and A(X,B) are dense in C(X,B) under sup-norm. Also, we study the relationship between elements of the algebras Lip α(X,B) and A(X,B).Keywords: Dense, Banach algebra, Lipschitz algebra, Vector-valued operator
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Pages 35-42In this paper, we investigate the behaviour of e-convex sets and e-affine sets. Moreover, some notions like S(e,a,ρ,α) and e-affine cones are introduced and discussed. We complete with a role of above sets in linear idempotent maps.Keywords: Affine sets, e-convex sets, e-cone, e-affine set