An abelian group associated with topological dynamics

DOI10.1216/RMJ-2015-45-5-1457zbMath1356.37015MaRDI QIDQ908253

Kazuhiro Kawamura

Publication date: 4 February 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1453817249

zbMATH Keywords

topological transitivityweighted composition operatorBanach space of continuous functions

Mathematics Subject Classification ID

Linear composition operators (47B33) Banach spaces of continuous, differentiable or analytic functions (46E15) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Cites Work

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• Positively expansive open maps of Peano spaces
• Expanding maps of solenoids
• On circle-valued cocycles of an ergodic measure preserving transformation
• Minimal dynamics on Menger manifolds
• Sums of continuous and differentiable functions in dynamical systems
• Various shadowing properties for positively expansive maps
• A survey on Menger manifold theory. -- Update
• On the Iteration of Transformations in Noncompact Minimal Dynamical Systems
• Periodic Points of Positively Expansive Maps
• Local expansions, derivatives, and fixed points
• Rigidity of Continuous Coboundaries
• Endomorphisms of Compact Differentiable Manifolds
• Characterizing 𝑘-dimensional universal Menger compacta

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