| dc.creator |
Karaev, M. T. |
|
| dc.date |
2012-01-01T01:00:00Z |
|
| dc.date.accessioned |
2021-12-03T12:03:16Z |
|
| dc.date.available |
2021-12-03T12:03:16Z |
|
| dc.identifier |
d59cc65c-f9a8-4cc8-a1d7-5ae39ad45043 |
|
| dc.identifier |
10.1007/s10474-011-0128-9 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/d59cc65c-f9a8-4cc8-a1d7-5ae39ad45043/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/95138 |
|
| dc.description |
We study the spectral multiplicity for the direct sum A. B of operators A and B on the Banach spaces X and Y. Under some domination conditions parallel to P(B)parallel to <= C parallel to P(Lambda)parallel to(A),in particular,parallel to B-n parallel to <= parallel to Lambda(n)parallel to, n >= 0, we prove the addition formulas mu(A circle plus B) = mu(A) + mu(B) for spectral multiplicities. We give valuable new applications of the main result of the author's paper [12]. We also use the so-called Borel transformation and generalized Duhamel product in calculating the spectral multiplicity of a direct sum of the form T circle plus A, where T is a weighted shift operator on the Wiener algebra W(D). |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
Domination conditions and spectral multiplicity of operators |
|
| dc.type |
info:eu-repo/semantics/article |
|