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- W4300881617 abstract "The main result of the paper is that a system of invariant subspaces of a (completely non-unitary) Hilbert space contraction $T$ with finite defects (rank$(I-T^*T)<infty$, rank$(I-TT^*)<infty$) is an unconditional basis (Riesz basis) if and only if it is uniformly minimal. Results of such type are quite well known: for a system of eigenspaces of a contraction with defects $1-1$ it is simply the famous Carleson interpolation theorem. For general invariant subspaces of operators with defects $1-1$ such theorem was proved by V. I. Vasyunin. Then partial results for the case of finite defects were obtained by the author. The present paper solves the problem completely." @default.
- W4300881617 created "2022-10-04" @default.
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- W4300881617 date "1996-01-25" @default.
- W4300881617 modified "2023-10-16" @default.
- W4300881617 title "Unconditional bases of invariant subspaces of a contraction with finite defects" @default.
- W4300881617 doi "https://doi.org/10.48550/arxiv.math/9601211" @default.
- W4300881617 hasPublicationYear "1996" @default.
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