Some new paranormed sequence spaces
Küçük Resim Yok
Tarih
2004
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Maddox defined the sequence spaces l(infinity)(p), c(p) and c(0)(p) in [Proc. Camb. Philos. Soc. 64 (1968) 335, Quart. J. Math. Oxford (2) 18 (1967) 345]. In the present paper, the sequence spaces a(0)(r)(u,p) and a(c)(r)(u,p) of non-absolute type have been introduced and proved that the spaces a(0)(r)(u,p) and a(c)(r)(u,p) are linearly isomorphic to the spaces c(0)(p) and c(p), respectively. Besides this, the alpha-, beta- and gamma-duals of the spaces a(0)(r)(u,p) and a(c)(r)(u,p) have been computed and their basis have been constructed. Finally, a basic theorem has been given and later some matrix mappings from a(0)(r)(u,p) to the some sequence spaces of Maddox and to some new sequence spaces have been characterized. (C) 2003 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
paranormed sequence space, alpha-,beta- and gamma-duals and basis of a sequence space, Matrix mappings
Kaynak
Information Sciences
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
160
Sayı
1-4
