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- W4301481837 abstract "Let T be a Cowen-Douglas tuple on a Banach space X. We use functional representations of T to associate with each T-invariant subspace Y of X an integer called the fiber dimension of Y. Among other results we prove a limit formula for the fiber dimension, show that it is invariant under suitable changes of Y and deduce a dimension formula for pairs of homogeneous invariant subspaces of graded Cowen-Douglas tuples on Hilbert spaces. We thus extend results proved by L. Chen, G. Cheng and X. Fang for single Cowen-Douglas operators on Hilbert spaces to the case of commuting operator systems on Banach spaces." @default.
- W4301481837 created "2022-10-05" @default.
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- W4301481837 date "2016-01-11" @default.
- W4301481837 modified "2023-09-27" @default.
- W4301481837 title "Cowen-Douglas tuples and fiber dimensions" @default.
- W4301481837 doi "https://doi.org/10.48550/arxiv.1601.02362" @default.
- W4301481837 hasPublicationYear "2016" @default.
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