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In this note we use only elementary properties of the McShane integral for vector-valued functions to establish an interesting convergence theorem for the vector-valued McShane

This paper deals with some problems of the absolute convergence of trigonometric Fourier series of a function from the class M.. The following facts are

The work of Ambrozie and Vasilescu on perturbations of Fred- holm complexes is generalized by discussing the stability theory of Banach space complexes under inessential

(Russian) Tbilisi University Press, Tbilisi, 1993; English translation: Kluwer Acad.. Akhobadze, On the convergence and ( C, − α )-summability of trigonometric Fourier

The study of random fixed point theorems for the monotone increasing, completely con- tinuous multi-valued random mappings on the random order intervals is initiated in Dhage [6]

In this paper, we consider a two-point boundary value problem involving fractional semilinear evolution equations and prove some existence results in a Banach space...

The aim of this paper is to establish the existence of solutions and some prop- erties of set solutions for a Cauchy problem with causal operator in a separable Banach space..

Relying on known results for Banach space valued polynomials, we extend and unify integrability for seminorms results to random elements that are not necessarily limits of Banach