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Nuclear Embeddings of Morrey Sequence Spaces and Smoothness Morrey Spaces
We study nuclear embeddings for spaces of Morrey type, both in its sequence space version and as smoothness spaces of functions defined on a bounded...
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Inclusion and Geometric Properties of Mixed Morrey Double-Sequence Spaces
In the continuous setting, Morrey spaces have been studied extensively, especially since the late 1960s. Meanwhile, Morrey sequence spaces, which are...
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Sequence-covering maps on submetrizable spaces
A topological space is called submetrizable if it can be mapped onto a metrizable topological space by a continuous one-to-one map. In this paper we...
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Weakly Compact Sets and Riesz Representation Theorem in Musielak Sequence Spaces
In this work, we give some criteria of the weakly compact sets and a representation theorem of Riesz’s type in Musielak sequence spaces using the...
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Approximation Theory, Sequence Spaces and Applications
This book publishes original research chapters on the theory of approximation by positive linear operators as well as theory of sequence spaces and...
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Some degenerate binomial sequence spaces and related matrix transformations and compactness
The main goal of this paper is to introduce some degenerate binomial sequence spaces and to mention that these are linearly isomorphic to the spaces
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Perturbations of an Integer Sequence as Zero Sets of Divisors in Some Spaces of Entire Functions
AbstractWe consider weighted spaces of entire functions obtained as the images of spaces of ultradistributions of minimal type and normal type on...
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Coefficients of Multilinear Forms on Sequence Spaces
The investigation of regularity/summability properties of the coefficients of bilinear forms in sequence spaces was initiated by Littlewood in 1930....
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k-rotundity of Orlicz-Lorentz sequence spaces
The criteria for Orlicz-Lorentz sequence spaces endowed with Luxemburg norm as well as Orlicz norm being k -rotund were provided in this article,...
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Topology on Geometric Sequence Spaces
Central theme of this chapter is to endow the geometric sequence spaces with geometric topology which is a non-linear topology. We shall explore...
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Some topologic and geometric properties of new Catalan sequence spaces
The essential target of this study is to define a novel conservative matrix, including Catalan and Motzkin numbers, and to study its matrix domain in...
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A framework of Besov–Triebel–Lizorkin type spaces via ball quasi-Banach function sequence spaces I: real-variable characterizations
This article is devoted to develo** a new and general framework of Besov–Triebel–Lizorkin type spaces based on ball quasi-Banach function sequence...