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arXiv · 2209.04652

Dynamics of the semigroup of contractive automorphisms of Banach spaces

Félix Cabello Sánchez·Javier Cabello Sánchez
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Abstract

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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Félix Cabello Sánchez, Javier Cabello Sánchez. 2022-09-10. Dynamics of the semigroup of contractive automorphisms of Banach spaces. https://arxiv.org/abs/2209.04652

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