Matrix transformations on the matrix domains of triangles in the spaces of strongly C1-summable and bounded sequences

Basar, FeyziMalkowsky, EberhardAltay, Bilal2024-08-042024-08-0420080033-3883https://hdl.handle.net/11616/94631Let w(0)(p), w(p) and w(infinity)(p) be the sets of sequences that are strongly summable to zero, summable and bounded of index p >= 1 by the Cesaro method of order 1, which were introduced by Maddox [I. J. MADDOX, On Kuttner's theorem, J. London Math. Soc. 43 (1968), 285-290]. We study the matrix domains w(0)(p)(T) = (W-0(p))(T), w(p)(T) = (W-p)T and w(infinity)(p) (T) = (W-infinity(p))T of arbitrary triangles T in w(0)(p),w(p) and w(infinity)(p), determine their beta-duals, and characterize matrix transformations on them into the spaces c(0), c and l(infinity).eninfo:eu-repo/semantics/closedAccessmatrix domain in a sequence spacebeta-dualsmatrix transformationsMatrix transformations on the matrix domains of triangles in the spaces of strongly C1-summable and bounded sequencesArticle731-21932132-s2.0-50049093975Q2WOS:000257458400013Q4