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Singular perturbations and a theorem of Kisyński

✍ Scribed by Joel A Smoller


Publisher
Elsevier Science
Year
1965
Tongue
English
Weight
394 KB
Volume
12
Category
Article
ISSN
0022-247X

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Joint Spectral Radius, Operator Semigrou
✍ Victor S. Shulman; Yuriı V. Turovskiı 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 361 KB

We investigate the connections between the invariant subspace problem for operator semigroups and the joint spectral radius. As a consequence, it is proved that any quasinilpotent Lie algebra of compact operators on a Banach space is triangularizable. We extend the Berger Wang formula to precompact