Some compactness properties of L-weakly and M-weakly compact operators

Bayram E., Tonyali C.

ACTA MATHEMATICA HUNGARICA, cilt.135, ss.1-7, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 135
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s10474-011-0160-9
  • Dergi Adı: ACTA MATHEMATICA HUNGARICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-7
  • Gazi Üniversitesi Adresli: Evet

Özet

We present some compactness properties of L-weakly and M-weakly compact operators on a Banach lattice under additional conditions. Thus, we can say that every bounded operator which commutes with any L-weakly or M-weakly compact operator have a non-trivial closed invariant subspace.