Some new sequence spaces which include the spaces lp and l?
Küçük Resim Yok
Tarih
2005
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter de Gruyter GmbH
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper, we introduce the sequence space ar p of non-absolute type and prove that the spaces ar p and lp are linearly isomorphic for 0 < p ? ?. We also show that ar p, which includes the space lp, is a p-normed space and a BK space in the cases of 0 < p < 1 and 1 ? p ? ?, respectively. Furthermore, we give some inclusion relations and determine the ?-, ?- and ?-duals of the space ar p and construct its basis. We devote the last section of the paper to the characterization of the matrix mappings from the space ar p to some of the known sequence spaces and to some new sequence spaces. © 2005 Warsaw University. All rights reserved.
Açıklama
Anahtar Kelimeler
Matrix mappings, Schauder basis, Sequence spaces of non-absolute type, The ?-, ?- and ?-duals
Kaynak
Demonstratio Mathematica
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
38
Sayı
3
