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math.DS2026
Shadowing and Topological Stability via Generalized Pseudo-Hyperbolicity in Autonomous and Nonautonomous Linear Dynamics
Davor Dragicevic, Mihaly Pituk
Although generalized hyperbolicity has proved to be a fundamental notion in linear dynamics, recent results show that it is too restrictive to characterize the shadowing property o…
math.FA2026
Resolving the generalized hyperbolicity conjecture for shadowing
Mihály Pituk
It is known that generalized hyperbolicity implies the shadowing property for invertible bounded linear operators on a Banach space. Whether the converse holds has been a central o…