Dynamics of the semigroup of contractive automorphisms of Banach spaces

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Dynamics of the semigroup of contractive automorphisms of Banach spaces

Cabello Sánchez, Félix; Cabello Sánchez, Javier

Journal of mathematical analysis and applications, 10/2023, Volume: 526, Issue: 2

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Motivated by some recent twaddles on Mazur rotations problem, we study the “dynamics” of the semigroup of contractive automorphisms of Banach spaces, mostly in finite-dimensional spaces. We focus on the metric aspects of the “action” of such semigroups, the size of the orbits and semitransitivity properties, and their impact on the geometry of the unit ball of the underlying space.

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Cabello Sánchez, Félix | Cabello Sánchez, Javier

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