Invariant subspaces of operators quasi-similar to L-weakly and M-weakly compact operators
Yükleniyor...
Dosyalar
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Scientific Technical Research Council Turkey-Tubitak
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Invariant subspace, L-weakly compact operator, M-weakly compact operator, quasi-similarity
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
42
Sayı
1
