Lomonosov’s Techniques and Burnside’s Theorem

DOI10.4153/CMB-2000-013-8zbMath0953.47003OpenAlexW2313297727MaRDI QIDQ4487052

Mikael Lindström, Georg Schlüchtermann

Publication date: 17 January 2001

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2000-013-8

zbMATH Keywords

fixed pointSchauder's fixed point theoreminvariant subspacecompact operatordual spaceinfinite-dimensional versionof Burnside's theroem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Linear operators defined by compactness properties (47B07) Invariant subspaces of linear operators (47A15) Continuous and differentiable maps in nonlinear functional analysis (46T20) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (5)

Invariant subspaces for commuting operators on a real Banach space ⋮ Halmos problems and related results in the theory of invariant subspaces ⋮ Applications of fixed point theorems in the theory of invariant subspaces ⋮ Positive functionals on general operator algebras ⋮ A version of Lomonosov’s theorem for collections of positive operators

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