Invariant subspaces for positive operators acting on a Banach space with Markushevich basis


Ercan Z., Onal S.

POSITIVITY, cilt.8, sa.2, ss.123-126, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1023/b:post.0000042836.20430.c2
  • Dergi Adı: POSITIVITY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.123-126
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

We introduce 'weak quasinilpotence' for operators. Then, by substituting 'Markushevich basis' and 'weak quasinilpotence at a nonzero vector' for 'Schauder basis' and 'quasinilpotence at a nonzero vector', respectively, we answer a question on the invariant subspaces of positive operators in [ 3].