| dc.creator |
KARAEV, M. T. |
|
| dc.creator |
GÜRDAL, Mehmet |
|
| dc.date |
2011-02-28T22:00:00Z |
|
| dc.date.accessioned |
2020-10-06T10:47:15Z |
|
| dc.date.available |
2020-10-06T10:47:15Z |
|
| dc.identifier |
8613994f-cd50-4b99-97fa-9ba80fdd7ab8 |
|
| dc.identifier |
10.7153/oam-05-11 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/8613994f-cd50-4b99-97fa-9ba80fdd7ab8/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/65291 |
|
| dc.description |
We introduce the notion of strong splitting operator on a separable Banach space, and prove a structure theorem for this operator. We consider the weighted shift operator T, Te-n = lambda(n)e(n+1), n >= 0, acting in the Banach space X with basis {e(n)}(n >= 0). We give some sufficient conditions for X and for the weight sequence {lambda(n)}(n >= 0) under which the operator is unicellular, that is, every nontrivial invariant subspace E of T has the form E = X-i := Span {e(k) : k >= i} for some i >= 1; and prove that the restricted operators T vertical bar X-i (i >= 1) are strong splitting. Moreover, we describe in terms of so-called discrete Duhamel operator and diagonal operator all extended eigenvectors of the operators T vertical bar X-i (i >= 1). |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
STRONGLY SPLITTING WEIGHTED SHIFT OPERATORS ON BANACH SPACES AND UNICELLULARITY |
|
| dc.type |
info:eu-repo/semantics/article |
|