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Invariant subspaces for positive operators on locally convex solid Riesz spaces

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Author
Zafer, Ercan
Çağlar, Mert
Type
Article
Date
2007-09-24
Language
en_US
Metadata
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Abstract
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.
Subject
positive operator
semigroup
invariant subspace
quasinilpotent
weak quasinilpotent
pozitif operatör
yarıgrup
değişmeyen alt uzay
yarınilpotent
zayıf yarınilpotent
URI
http://hdl.handle.net/11413/1011
Collections
  • Makaleler / Articles [209]
  • Scopus Publications [724]
  • WoS Publications [1016]

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İstanbul Kültür University

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Istanbul Kültür University, Ataköy Campus E5 Karayolu Üzeri Bakırköy 34158, İstanbul / TURKEY
Copyright © İstanbul Kültür University

Creative Commons Lisansı
IKU Institutional Repository, Creative Commons Alıntı-GayriTicari-Türetilemez 4.0 Uluslararası Lisansı ile lisanslanmıştır.

Designed by  UNIREPOS