Yayınlanmış 1 Ocak 2018
| Sürüm v1
Dergi makalesi
Açık
Invariant subspaces of operators quasi-similar to L-weakly and M-weakly compact operators
Açıklama
Let T be an L-weakly compact operator defined on a Banach lattice E without order continuous norm. We prove that the bounded operator S defined on a Banach space X has a nontrivial closed invariant subspace if there exists an operator in the commutant of S that is quasi-similar to T. Additively, some similar and relevant results are extended to a larger classes of operators called super right-commutant. We also show that quasi-similarity need not preserve L-weakly or M-weakly compactness.
Dosyalar
10-3906-mat-1611-70.pdf
Dosyalar
(108.1 kB)
| Ad | Boyut | Hepisini indir |
|---|---|---|
|
md5:498e3771d265572501cc7de8147d2910
|
108.1 kB | Ön İzleme İndir |