An application of the smooth variational principle to the existence of nontrivial invariant subspaces

DOI10.1016/S0764-4442(00)01803-6zbMath1008.47006OpenAlexW2067885337WikidataQ126781575 ScholiaQ126781575MaRDI QIDQ2708190

Aharon Atzmon, Gilles Godefroy

Publication date: 1 April 2003

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(00)01803-6

zbMATH Keywords

invariant subspacemoment sequenceinvariant subsetGâteaux smooth norm

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Groups and semigroups of linear operators (47D03) Invariant subspaces of linear operators (47A15) Ordered normed spaces (46B40)

Related Items (6)

A new method for constructing invariant subspaces ⋮ Convex analysis and non-trivial invariant subspaces ⋮ Halmos problems and related results in the theory of invariant subspaces ⋮ Operators that admit a moment sequence ⋮ Operators that admit a moment sequence, II ⋮ Invariant subspaces for tridiagonal operators.

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