Affine flows and distal points

DOI10.1007/BF01252861zbMath0505.46006MaRDI QIDQ1836073

Isaac Namioka

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173361

zbMATH Keywords

Ryll-Nardzewski's fixed point theoremaffine flowscompact minimal subsetsdistal pointsPettis' almost fixed point theoremsemigroups of continuous affine maps on a compact convex set

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Convex sets in topological linear spaces; Choquet theory (46A55) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (7)

Distal Functions and Unique Ergodicity ⋮ Banach Representations and Affine Compactifications of Dynamical Systems ⋮ Unnamed Item ⋮ SKEW-PRODUCT DYNAMICAL SYSTEMS, ELLIS GROUPS AND TOPOLOGICAL CENTRE ⋮ The topological center of the spectrum of the algebra generated by the maps \(\exp q(t)\) ⋮ \(\mu\)-harmonic functions on locally compact groups ⋮ The universal minimal one parameter system with quasi-discrete spectrum

Cites Work

• Unnamed Item
• Distral transformation groups
• Separate continuity and joint continuity
• Compressibility Properties in Topological Dynamics
• On a Freedman's problem
• Distal Functions on Groups
• A geometric proof of Ryll-Nardzewski’s fixed point theorem
• On Nikaidô's proof of the invariant mean-value theorem
• The Structure of Distal Flows
• Right topological groups, distal flows, and a fixed-point theorem
• Real Functions Coming from Flows on Compact Spaces and Concepts of Almost Periodicity

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