Dynamics of the semigroup of contractive automorphisms of Banach spaces

DOI10.1016/J.JMAA.2023.127233zbMath1528.46005arXiv2209.04652MaRDI QIDQ6110793

Javier Cabello Sánchez, Félix Cabello Sánchez

Publication date: 6 July 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.04652

zbMATH Keywords

Hilbert spaceBanach spacecontractive automorphismsemitransitivityMazur rotations problem

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04)

Cites Work

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• Norms with locally Lipschitzian derivatives
• Every locally bounded space with trivial dual is the quotient of a rigid space
• Advanced analysis on the real line
• On Mazur rotations problem and its multidimensional versions
• On Banach spaces whose group of isometries acts micro-transitively on the unit sphere
• Banach spaces with a large semigroup of contractive automorphisms
• A reflection on Tingley's problem and some applications
• Any isometry between the spheres of absolutely smooth 2-dimensional Banach spaces is linear
• Almost transitivity of some function spaces
• Wheeling around Mazur rotations problem

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