Dichotomies uniform on subspaces and formulas for dichotomy spectra

Publikation: Vorabdruck/Dokumentation/BerichtVorabdruck (Preprint)

Beitragende

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

OriginalspracheEnglisch
PublikationsstatusVeröffentlicht - 9 Nov. 2024
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Schlagworte

Schlagwörter

  • math.DS, math.FA, 37D25