DOMAIN OF THE CESARO MEAN OF ORDER ? IN MADDOX'S SPACE l(p)
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Publications L Institut Mathematique Matematicki
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The sequence space l(p) was defined by I. J. Maddox, Spaces of strongly summable sequences, Quart. J. Math. Oxford (2), 18 (1967), 345-355. Here, we introduce the paranormed Cesaro sequence space l(C-alpha, p) of order alpha, of non-absolute type as the domain of Cesaro mean C-alpha of order alpha and prove that the spaces l (C-alpha, p) and l(p) are linearly paranorm isomorphic. Besides this, we compute the alpha-, beta- and gamma-duals of the space l(C-alpha, p) and construct the basis of the space l(C-alpha, p) together with the characterization of the classes of matrix transformations from the space l(C-alpha, p) into the spaces l(infinity) of bounded sequences and f of almost convergent sequences, and any given sequence space Y, and from a given sequence space Y into the sequence space l(C-alpha, p). Finally, we emphasize on some geometric properties of the space l(C-alpha, p).
Açıklama
Anahtar Kelimeler
paranormed sequence space, alpha-, beta-and gamma-duals and matrix mappings
Kaynak
Publications De L Institut Mathematique-Beograd
WoS Q Değeri
Q4
Scopus Q Değeri
Q4
Cilt
114
Sayı
128
