Convex analysis and non-trivial invariant subspaces
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DOI: 10.1007/s11117-019-00682-4
Abstract: We establish sufficient conditions for the existence of invariant subspaces for operators on real Banach spaces, and we investigate the behaviour of operators without such subspaces. All proofs are elementary. read more here.
Keywords: trivial invariant; convex analysis; non trivial; analysis non ... See more keywords
Invariant subspaces for non-normable Fréchet spaces
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DOI: 10.1016/j.aim.2018.09.039
Abstract: A Fr\'echet space $X$ satisfies the Hereditary Invariant Subspace (resp. Subset) Property if for every closed infinite-dimensional subspace $M$ in $X$, each continuous operator on $M$ possesses a non-trivial invariant subspace (resp. subset). In this… read more here.
Keywords: non trivial; non normable; subspace; continuous operator ... See more keywords