Yazar "Basar F." seçeneğine göre listele

Listeleniyor 1 - 3 / 3
  • Küçük Resim Yok
    Öğe
    On some Euler sequence spaces of nonabsolute type
    (2005) Altay B.; Basar F.
    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.
  • Küçük Resim Yok
    Öğe
    On the new sequence spaces which include the spaces c0 and c
    (2004) Aydin C.; Basar F.
    In the present paper, the sequence spaces ar0 and arc of non-absolute type which are the BK-spaces including the spaces c0 and c have been introduced and proved that the spaces ar0 and arc are linearly isomorphic to the spaces c0 and c, respectively. Additionally, the ?-, (?- and ?-duals of the spaces ar0 and arc have been computed and their basis have been constructed. Finally, the necessary and sufficient conditions on an infinite matrix belonging to the classes (arc: lp) and (arc: c) have beendetermined and the characterizations of some other classes have also been derived by means of a given basic lemma, where 1 ? p ? ?. © 2004 by the University of Notre Dame. All rights reserved.
  • Küçük Resim Yok
    Öğe
    Some generalizations of the sequence space
    (Shiraz University, 2006) Aydin C.; Basar F.
    In the present paper, the sequence space d(u, p) of a non-absolute type is introduced and it is proved that the space d(u, p) is linearly isomorphic to the Maddox's space i(p). Besides this, the basis is constructed and the ?-, ?- and ?-duals are computed for the space d(u, p). Furthermore, some matrix mappings from d(u, p) to some sequence spaces are characterized. The final section of the paper is devoted to some consequences related to the rotundity of the space d(u, p). © Shiraz University.