On some Euler sequence spaces of nonabsolute type
Küçük Resim Yok
Tarih
2005
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper, we introduce Euler sequence spaces e 0 r and e c r of nonabsolute type that are BK-spaces including the spaces c 0 and c and prove that the spaces e 0 r and e c r are linearly isomorphic to the spaces c 0 and c, respectively. Furthermore, some inclusion theorems are presented. Moreover, the ?-, ?-, ?- and continuous duals of the spaces e 0 r and e c r are computed and their bases are constructed. Finally, necessary and sufficient conditions on an infinite matrix belonging to the classes (e cr : ?p) and (ecr : C) are established, and characterizations of some other classes of infinite matrices are also derived by means of a given basic lemma, where 1 ? p ? ?. © 2005 Springer Science+Business Media, Inc.
Açıklama
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Kaynak
Ukrainian Mathematical Journal
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
57
Sayı
1
