Solvability of certain sequence spaces inclusion equations with operators

• Autorzy: Malafosse B. de
• Języki publikacji: EN

Abstrakty

EN

In this paper, we deal with sequence spaces inclusion equations (SSIE), which are determined by an inclusion where each term is a sum or a sum of products of sets of the form a(T) and f(x)(T) where f maps U+ to itself, and (...), the sequence x is the unknown and T is a given triangle. Here, we determine the set of all sequences x with positive entries such that (…) and (…) where (...). We are led to study, among other things, the inclusion equations (…) and (…) where (…) is the operator of first differences defined by (…) for (…) with (…). The first (SSIE) leads to determine the set of all sequences x such that (…) and (…) implies (…). These results generalize some of the results given in [1].

Słowa kluczowe

EN

matrix transformation; Banach space; multiplier of sets of sequences; sequence spaces inclusion equations; SSIE

PL

transformacja macierzy; przestrzeń Banacha

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 2
• Strony: 299--314
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Malafosse B. de

• LMAH Université Du Havre, Le Havre, France

Bibliografia

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