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Chaotic Unilateral Weighted Backward Shifts on Sequentially Complete Topological Sequence Spaces
Extending previous results of Grosse-Erdmann and Peris we obtain a characterization of chaotic unilateral weighted backward shifts on sequentially...
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Sequence Banach Spaces
This chapter is dedicated to the study of the geometry of polynomial spaces on...
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Some new paranormed sequence spaces derived by regular Tribonacci matrix
In this paper, we introduce new paranormed sequence spaces by utilizing a regular Tribonacci matrix. We determine their Schauder bases and compute...
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Normed Spaces
Following a review of vector spaces and Hausdorff’s maximality principle, this chapter introduces normed spaces: the combination of a vector space...
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Some results of neutrosophic normed space VIA Tribonacci convergent sequence spaces
The concept of Tribonacci sequence spaces by the domain of a regular Tribonacci matrix was introduced by Yaying and Hazarika (Math. Slovaca...
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Solvability of infinite system of implicit fractional integral equations of two variables in tempered sequence spaces via generalized Darbo’s fixed point theorem
In this article, we study the existence of solutions for an infinite system of implicit fractional integral equations of two variables in tempered...
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Function Spaces
This chapter provides the backgrounds, including definitions and results, of several important functions and sequence spaces, which are needed in the...
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A Study on q-Euler Difference Sequence Spaces
In this chapter, we introduce q-Euler difference sequence spaces \(e^{q}_0(\Delta )\)...
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Banach Spaces
One of the main concerns of the theory of normed spacesNormed space is the study of compactness of sets and continuity of map**s between these...
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Weakly compact sets in Orlicz sequence spaces
We combine the techniques of sequence spaces and general Orlicz functions that are broader than the classical cases of N -functions. We give three...
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Explicit commutative sequence space representations of function and distribution spaces on the real half-line
We provide explicit commutative sequence space representations for classical function and distribution spaces on the real half-line. This is done by...
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Metric Spaces
Exploring the properties of real functions or sequences is just the beginning. A few answers lead to several questions. Can we extend our results...