| dc.creator |
GÜRDAL, Mehmet |
|
| dc.creator |
GARAYEV, M. T. |
|
| dc.creator |
SALTAN, Suna |
|
| dc.date |
2014-08-31T21:00:00Z |
|
| dc.date.accessioned |
2020-10-06T10:47:35Z |
|
| dc.date.available |
2020-10-06T10:47:35Z |
|
| dc.identifier |
886a7f17-4aa8-4bda-98de-7d134d681690 |
|
| dc.identifier |
10.1016/s0252-9602(14)60111-9 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/886a7f17-4aa8-4bda-98de-7d134d681690/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/65532 |
|
| dc.description |
We investigate a basisity problem in the space l(A)(p)(D) and in its invariant sub-spaces. Namely, let W denote a unilateral weighted shift operator acting in the space l(A)(p)(D), 1 <= p < infinity, nu Wz(n) = lambda(n)z(n+1), n >= 0, with respect to the standard basis {z(n)}(n >= 0). Applying the so-called "discrete Duhamel product" techique, it is proven that for any integer k >= 1 the sequence {(w(i+nk))(-1) (W vertical bar E-i)(kn) f}(n >= 0) is a basic sequence in E-i := span (z(i+n) : n >= 0} equivalent to the basis {z(i+n)}(n >= 0) if and only if <(f)over cap>(i) not equal 0. We also investigate a Banach algebra structure for the subspaces E-i, i >= 0. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
BASISITY PROBLEM AND WEIGHTED SHIFT OPERATORS |
|
| dc.type |
info:eu-repo/semantics/article |
|