Title
B(r, s, t, u) - dvostruko sumabilni prostori nizova i matrične transformacije
Creator
Tuğ, Orhan A.
Copyright date
2019
Object Links
Select license
Autorstvo-Nekomercijalno-Bez prerade 3.0 Srbija (CC BY-NC-ND 3.0)
License description
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Language
Serbian
Cobiss-ID
Theses Type
Doktorska disertacija
description
Datum odbrane: 17.10.2019.
Other responsibilities
mentor
Rakočević, Vladmir R.
član komisije
Milovanović, Gradimir V.
član komisije
Đorđević, Dragan S.
član komisije
Malkowsky, Eberhard
predsednik komisije
Đolović, Ivana
Academic Expertise
Prirodno-matematičke nauke
Academic Title
-
University
Univerzitet u Nišu
Faculty
Prirodno-matematički fakultet
Group
Odsek za matematiku i informatiku
Alternative title
B(r, s, t, u) - summable double sequence spaces and matrix transformations
: doctoral dissertation
Publisher
[O. A. Tuğ]
Format
81 list
description
Biografija: list. [82];
Bibliografija: listovi 77-81.
description
Functional аnalysis
Abstract (en)
In this dissertation, some new double sequence spaces derived as the
domain of the four-dimensional generalized difference matrix are
investigated. In the first chapter; literature review and some needed
definitions and theorems are given for the following chapters. In the
second chapter; we investigate the double sequence and series spaces
with their basic properties which are used in the following chapters.
In the third chapter we define the four-dimensional generalized
difference matrix B(r; s; t; u) and new double sequence spaces are
introduced as the domain of that matrix. In the fourth chapter; we
study those new spaces and calculate their beta and gamma dual. In
the fifth chapter; four-dimensional matrix transformations on the new
spaces are studied in terms of four-dimensional dual summability
methods for double sequences. Moreover, the characterization of
some new four-dimensional matrix classes is also given. In the sixth
chapter; as an application, the subclasses of compact operators on our
new spaces were characterized by applying the Hausdorff measure of
noncompactness of operators on B-summable double sequence
spaces. In the seventh chapter; results of this thesis and some related
open problems were stated.
Authors Key words
Funkcionalna analiza, Sumabilnost, Matrični domeni,
Prostori dvostrukih nizova
Authors Key words
Functional Analysis, Summability, Matrix Domain, Double Sequence
Spaces
Classification
517.98(043.3)
Subject
P 140
Type
Tekst
Abstract (en)
In this dissertation, some new double sequence spaces derived as the
domain of the four-dimensional generalized difference matrix are
investigated. In the first chapter; literature review and some needed
definitions and theorems are given for the following chapters. In the
second chapter; we investigate the double sequence and series spaces
with their basic properties which are used in the following chapters.
In the third chapter we define the four-dimensional generalized
difference matrix B(r; s; t; u) and new double sequence spaces are
introduced as the domain of that matrix. In the fourth chapter; we
study those new spaces and calculate their beta and gamma dual. In
the fifth chapter; four-dimensional matrix transformations on the new
spaces are studied in terms of four-dimensional dual summability
methods for double sequences. Moreover, the characterization of
some new four-dimensional matrix classes is also given. In the sixth
chapter; as an application, the subclasses of compact operators on our
new spaces were characterized by applying the Hausdorff measure of
noncompactness of operators on B-summable double sequence
spaces. In the seventh chapter; results of this thesis and some related
open problems were stated.
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