Measures of noncompactness in (N¯qΔ)summable difference sequence spaces

Autor:	Ishfaq Malik Ahmad, Tanweer Jalal
Rok vydání:	2018
Předmět:	Combinatorics General Mathematics Mathematics Sequence (medicine)
Zdroj:	Filomat. 32:5459-5470
ISSN:	2406-0933 0354-5180
DOI:	10.2298/fil1815459m
Popis:	In this paper we first introduce N?q?summable difference sequence spaces and prove some properties of these spaces. We then obtain the necessary and sufficient conditions for infinite matrices A to map these sequence spaces into the spaces c,c0, and l?. Finally, the Hausdorff measure of noncompactness is then used to obtain the necessary and sufficient conditions for the compactness of the linear operators defined on these spaces.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b0e8bfcb451311c482802ee782e92507 https://doi.org/10.2298/fil1815459m Zobrazit plný text záznamu