Invariant subspaces for positive operators on locally convex solid Riesz spaces
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Dosyalar
Tarih
2007
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Bv
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We prove that an x(0)-quasinilpotent semigroup S of continuous positive linear operators on a locally convex solid Riesz space X has a common invariant subspace. Using this, a result which implies the main theorem of Abramovich, Aliprantis and Burkinshaw [J. Funct. Anal. 115 (1993) 418-424] is also given.
Açıklama
Anahtar Kelimeler
positive operator, semigroup, invariant subspace, quasinilpotent, weak quasinilpotent
Kaynak
Indagationes Mathematicae-New Series
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
18
Sayı
3
