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Symmetric Invariant Subspaces of Complexifications of Linear Operators
Symmetric Invariant Subspaces Complexifications of Linear Operators
2011/2/22
Let T : X → X be a linear operator on a complex Banach space. Denote by (T ) and R(, T ) its spectrum and resolvent.
A complete locally convex space of countable dimension admitting an operator with no invariant subspaces
Cyclic operators invariant subspaces topological vector spaces
2010/12/6
We construct a complete locally convex topological vector space X of countable algebraic dimension and a continuous linear operator T : X → X such that T has no non-trivial closed invariant subspaces.