Fen Edebiyat Fakültesi / Faculty of Letters and Sciences Matematik - Bilgisayar / Mathematics and Computer ScienceMısırlıoğlu, Remzi TunçŞafak, Alpay2018-09-062018-09-062008-051385-12921572-9281https://doi.org/10.1007/s11117-007-2089-3https://hdl.handle.net/11413/2698In 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.en-USInvariant subspacecollectively compact setjoint spectral radiusArticle