Invariant subspaces for positive operators on locally convex solid Riesz spaces

Caglar, MERT; Ercan, Z.

doi:10.1016/s0019-3577(07)80030-9

Invariant subspaces for positive operators on locally convex solid Riesz spaces

Caglar M., Ercan Z.

INDAGATIONES MATHEMATICAE-NEW SERIES, cilt.18, sa.3, ss.417-420, 2007 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 18 Sayı: 3
Basım Tarihi: 2007
Doi Numarası: 10.1016/s0019-3577(07)80030-9
Dergi Adı: INDAGATIONES MATHEMATICAE-NEW SERIES
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.417-420
İstanbul Kültür Üniversitesi Adresli: Evet

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.