Search
Search Results
-
Normed Spaces and Inner Product Spaces
This chapter delves into the fundamental mathematical structures of normed linear spaces and inner product spaces, providing a solid comprehension of...
-
On direct sums and quotient spaces of near-vector spaces
In this paper we study the direct sums of subspaces and some constructions of quotient spaces of near-vector spaces, as defined by André. In...
-
Operators Between Sequence Spaces and Applications
This book presents modern methods in functional analysis and operator theory along with their applications in recent research. The book also deals...
-
Quasi-metric antipodal spaces and maximal Gromov hyperbolic spaces
Hyperbolic fillings of metric spaces are a well-known tool for proving results on extending quasi-Moebius maps between boundaries of Gromov...
-
Lorentz spaces and embeddings induced by almost greedy bases in superreflexive Banach spaces
The aim of this paper is to show that almost greedy bases induce tighter embeddings in superreflexive Banach spaces than in general Banach spaces....
-
A Note on the Symmetry of Sequence Spaces
AbstractWe give a self-contained treatment of symmetric Banach sequence spaces and some of their natural properties. We are particularly...
-
Banach Spaces
This chapter explores the properties of operators and functionals on general Banach spaces, with the aim of generalizing various results on Hilbert...
-
Banach Spaces
We consider the notions of linear space, norm, normed linear space (NLS), Banach space. Various examples of Banach spaces are treated. The problems...
-
A class of the Newtonian HK-Sobolev spaces on metric measure spaces
In this article, the authors present a systematic study of a class of the Newtonian HK-Sobolev spaces on metric measure spaces. Several Sobolev-type...
-
Classification of anisotropic local Hardy spaces and inhomogeneous Triebel–Lizorkin spaces
This paper provides a characterization of when two expansive matrices yield the same anisotropic local Hardy and inhomogeneous Triebel–Lizorkin...
-
Quasicomplemented Subspaces of Banach Spaces and Separable Quotients
We present a result which generalizes the theorems of Gurariy-Kadets and Lindenstrauss-Rosenthal on quasicomplemented subspaces of Banach spaces. We...
-
Enriched multi-valued nonexpansive map**s in geodesic spaces
Enriched multi-valued contraction map**s and enriched multi-valued nonexpansive map**s are introduced in the context of geodesic spaces, and...
-
Locally Convex Spaces
This chapter starts recalling the definitions of Hausdorff topological space, metric space, and normed space. Examples of Banach sequence spaces, of...
-
Sequence Spaces Associated with Fractional Copson Matrix and Compact Operators
In this research, we introduce the fractional Copson matrix and define the associated sequence spaces. We investigate the inclusion relations, dual...
-
Mean random attractors of stochastic lattice fractional delay Gray–Scott equations in higher moment product sequence spaces
This paper is devoted to the study of mean attractors in some higher moment product sequence spaces for a three-component reversible lattice...
-
Sequence Spaces Inclusion Equations
In this chapter, we consider new problems of perturbations with exercises on sequence spaces and determine the sets of all the solutions of special...