Invariant subspaces of collectively compact sets of linear operators

Alpay S., Misirlioglu T.

POSITIVITY, cilt.12, sa.2, ss.209-219, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 2
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1007/s11117-007-2089-3
  • Dergi Adı: POSITIVITY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.209-219
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we first give some invariant subspace results for collectively compact sets of operators in connection with the joint spectral radius of these sets. We then prove that any collectively compact set M in alg Gamma satisfies Berger-Wang formula, where Gamma is a complete chain of subspaces of X.