Invariant subspaces of collectively compact sets of linear operators

Alpay Ş., MISIRLIOĞLU R. T.

Positivity, vol.12, no.2, pp.209-219, 2008 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 2
  • Publication Date: 2008
  • Doi Number: 10.1007/s11117-007-2089-3
  • Journal Name: Positivity
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.209-219
  • Keywords: Collectively compact set, Invariant subspace, Joint spectral radius
  • Istanbul Kültür University Affiliated: Yes

Abstract

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.