Dichotomies uniform on subspaces and formulas for dichotomy spectra
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Contributors
Abstract
In this note we introduce a notion of dichotomy which generalizes the classical concept of exponential dichotomy and the recent notion of Bohl dichotomy. A key attribute is the discussion of the sets of subspaces of the state space on which the dichotomy estimates are uniform. Two main results are a dichotomy spectral theorem based on our notion of dichotomy which is uniform on subspaces and a formula for the dichotomy spectral intervals which is new for the Bohl dichotomy spectrum as well as for the classical exponential dichotomy spectrum.
Details
Original language | English |
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Publication status | Published - 9 Nov 2024 |
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Keywords
Keywords
- math.DS, math.FA, 37D25