A version of the Lomonosov invariant subspace theorem for real Banach spaces

DOI10.1512/IUMJ.2005.54.2561zbMath1068.47010OpenAlexW2008967334MaRDI QIDQ4682094

G. G. Sirotkin

Publication date: 9 June 2005

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2005.54.2561

zbMATH Keywords

spectruminvariant subspacecompact operatorhyperinvariant subspacenon-scalar operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Invariant subspaces of linear operators (47A15)

Related Items (9)

On the positive commutator in the radical ⋮ Similarities and differences between real and complex Banach spaces: an overview and recent developments ⋮ Some open problems and conjectures associated with the invariant subspace problem ⋮ A dual method of constructing hereditarily indecomposable Banach spaces ⋮ On commuting and semi-commuting positive operators ⋮ A note on a problem of Abramovich, Aliprantis and Burkinshaw ⋮ Strictly singular operators in Tsirelson like spaces ⋮ Classes of strictly singular operators and their products ⋮ A remark on invariant subspaces of positive operators

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