Invariant Subspaces of Idempotents on Hilbert Spaces
نویسندگان
چکیده
In the setting of operators on Hilbert spaces, we prove that every quasinilpotent operator has a non-trivial closed invariant subspace if and only pair idempotents with commutator common subspace. We also present geometric characterization subspaces classify are essentially idempotent.
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ژورنال
عنوان ژورنال: Integral Equations and Operator Theory
سال: 2022
ISSN: ['0378-620X', '1420-8989']
DOI: https://doi.org/10.1007/s00020-022-02723-2