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On some special subspaces of a Banach space, from the perspective of best coapproximation
We study the best coapproximation problem in Banach spaces, by using Birkhoff–James orthogonality techniques. We introduce two special types of...
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A Banach—Stone Type Theorem for Space of Vector-Valued Differentiable Maps
This article describes the surjective linear isometries between spaces of p -times differentiable maps from a domain of the Euclidean space into a...
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Differential Games in a Banach Space without Discrimination
AbstractThe paper is a continuation of author’s research on the existence of an ε-equilibrium in the sense of piecewise program strategies in...
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Basic Theory of B–J Orthogonality in Banach Space
The Hilbert space theory has an inherent orthogonality notion that comes easily through inner product and that differentiates the geometry of the...
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Porosity phenomena of non-expansive, Banach space map**s
For any non-trivial convex and bounded subset C of a Banach space, we show that outside of a σ -porous subset of the space of non-expansive map**s C ...
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Banach algebras
In this chapter, we shall introduce Banach algebras and recall their basic properties. General Banach algebras are considered in...
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Discrete-Time Stochastic Calculus in Banach Space
This chapter presents the useful material needed in the sequel, in particular, elements of the martingales and martingale problem in Banach space,...
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Banach Space Representations
In this chapter, we present the Schneider-Teitelbaum duality between Banach space representations and Iwasawa modules.
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Relatively compact sets of Banach space-valued bounded-variation spaces
In this paper, we give criteria for the relatively compact sets of Banach space-valued bounded-variation spaces in the sense of Jordan and Banach...
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Some Mean Convergence Theorems for the Maximum of Normed Double Sums of Banach Space Valued Random Elements
In this correspondence, we establish mean convergence theorems for the maximum of normed double sums of Banach space valued random elements. Most of...
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The adjoint of an operator on a Banach space
Self-adjoint operators in smooth Banach spaces have been already defined in recent works. Here, we extend the concept of adjoint of an operator to...
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General Sigmoid Relied Banach Space Valued Neural Network Approximation
Here we study the univariate quantitative approximation of Banach space valued continuous functions on a compact interval or all the real line by...
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Bounded Solutions of Difference Equations in a Banach Space with Asymptotically Constant Operator Coefficient
We study the problem of existence of a unique bounded solution for a difference equation on the half axis with asymptotically constant operator...
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Banach Space Theory
In this chapter we present some basic concepts and results from Functional Analysis (Banach Space Theory). In Sect. 3.2 we introduce the terminology...
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Existence and Ulam stability of mild solutions for nonlinear fractional integro-differential equations in a Banach space
In this article, we apply the Krasnoselskii and Banach fixed point theorems to obtain the existence and uniqueness of mild solutions for a fractional...
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On enriched Hardy–Rogers contractions in Banach space via Krasnoselskij iteration with an application
In this paper we initiate the study of enriched Hardy–Rogers contraction in Banach space and utilize it to establish fixed point results by using the...
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Banach Spaces
A normed linear space is a vector space together with a norm function. The norm is like the concept of the length of an arrow. Then, the space admits...
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Solvability of the Pursuit Problem for One Differential Game in a Banach Space
AbstractIn a Banach space, we study the solvability of the pursuit problem in the sense of L.S. Pontryagin for a differential game whose dynamics is...
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