Une application du principe variationnel lisse à l'existence de sous-espaces invariants non triviaux

Aharon Atzmon; Gilles Godefroy

doi:10.1016/S0764-4442(00)01803-6

Une application du principe variationnel lisse à l'existence de sous-espaces invariants non triviaux

Translated title of the contribution: An application of the smooth variational principle to the existence of nontrivial invariant subspaces

Aharon Atzmon, Gilles Godefroy

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We show that the consideration of Gâteaux smooth functions on Banach spaces which admit an equivalent Gâteaux smooth norm allows us to show that certain linear operators have nontrivial closed invariant subspaces. It is in particular the case of all operators on a real Banach space which admit a moment sequence.

Translated title of the contribution	An application of the smooth variational principle to the existence of nontrivial invariant subspaces
Original language	French
Pages (from-to)	151-156
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	332
Issue number	2
DOIs	https://doi.org/10.1016/S0764-4442(00)01803-6
State	Published - Feb 2001

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Une application du principe variationnel lisse à l'existence de sous-espaces invariants non triviaux

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