论文标题

Banach空间的承包自动形态学的半群的动力学

Dynamics of the semigroup of contractive automorphisms of Banach spaces

论文作者

Sánchez, Félix Cabello, Sánchez, Javier Cabello

论文摘要

在最近关于Mazur旋转问题的一些扭曲中,我们研究了Banach空间的承包自动形态学的“动态”,主要是在有限维空间中。我们专注于此类半群的“动作”的度量方面,轨道和半传递性能的大小及其对基础空间单位球几何形状的影响。

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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