Invariant subspaces of collectively compact sets of linear operators

Alpay Ş., MISIRLIOĞLU R. T.

Positivity, cilt.12, sa.2, ss.209-219, 2008 (SCI-Expanded) 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
  • Anahtar Kelimeler: Collectively compact set, Invariant subspace, Joint spectral radius
  • İstanbul Kültür 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 algΓ satisfies Berger-Wang formula, where Γ is a complete chain of subspaces of X. © 2008 Springer Science + Business Media B.V.