Naslov (srp)

B(r, s, t, u) - dvostruko sumabilni prostori nizova i matrične transformacije

Autor

Tuğ, Orhan A., 1985-, 29299047

Doprinosi

Rakočević, Vladmir R.
Milovanović, Gradimir V.
Đorđević, Dragan S.
Malkowsky, Eberhard
Đolović, Ivana

Opis (eng)

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.

Opis (srp)

Biografija: list. [82];Bibliografija: listovi 77-81. Datum odbrane: 17.10.2019. Functional аnalysis

Jezik

srpski

Datum

2019

Licenca

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