On Some Euler Sequence Spaces of Nonabsolute Type |
| |
Authors: | B Altay F Basar |
| |
Institution: | (1) Inonu Universitesi, Turkey |
| |
Abstract: | 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 α-, β-, γ- 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
and
are established, and characterizations of some other classes of infinite matrices are also derived by means of a given basic lemma, where 1 ≤ p ≤ ∞.__________Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 1, pp. 3–17, January, 2005. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|