ON SOME DIFFERENCE SEQUENCE SPACES OF WEIGHTED MEANS AND COMPACT OPERATORS

Başarır, Metin

dc.contributor.authors	Basarir, M; Kara, EE
dc.date.accessioned	2020-01-17T08:21:45Z
dc.date.available	2020-01-17T08:21:45Z
dc.date.issued	2011
dc.identifier.citation	Basarir, M; Kara, EE (2011). ON SOME DIFFERENCE SEQUENCE SPACES OF WEIGHTED MEANS AND COMPACT OPERATORS. ANNALS OF FUNCTIONAL ANALYSIS, 2, 129-114
dc.identifier.issn	2008-8752
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6150
dc.description.abstract	In the peresent paper, by using generalized weighted mean and difference matrix of order m, we introduce the sequence spaces X(u, v, Delta((m))), where X is one of the spaces l(infinity), c or c(0). Also, we determine the alpha-, beta- and gamma-duals of those spaces and construct their Schauder bases for X is an element of {c, c(0)}. Morever, we give the characterization of the matrix mappings on the spaces X(u, v, Delta(m)) for X is an element of {l(infinity), c, c(0)}. Finally, we characterize some classes of compact operators on the spaces l(1) (u, v, Delta(m)) and c(0)(u, v, Delta(m)) by using the Hausdorff measure of noncompactness.
dc.language	English
dc.publisher	DUKE UNIV PRESS
dc.title	ON SOME DIFFERENCE SEQUENCE SPACES OF WEIGHTED MEANS AND COMPACT OPERATORS
dc.type	Article
dc.identifier.volume	2
dc.identifier.startpage	114
dc.identifier.endpage	129
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Başarır, Metin
dc.relation.journal	ANNALS OF FUNCTIONAL ANALYSIS
dc.identifier.wos	WOS:000208880000012
dc.contributor.author	Başarır, Metin