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On Continuity of Measurable Cocycles
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G. Guzik
Published/Copyright:
June 7, 2010
Abstract
It is proved that every measurable, non-vanishing cocycle defined on the product of (0, ∞) and an arbitrary compact metric space is continuous. Some other sufficient conditions for continuity of a cocycle are also given.
Key words and phrases.: Cocycle; translation equation
Received: 2000-01-18
Revised: 2000-07-27
Published Online: 2010-06-07
Published in Print: 2000-December
© Heldermann Verlag
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Articles in the same Issue
- Category Analogue of Sup-Measurability Problem
- Lipschitzian Superposition Operators Between Spaces of Functions of Bounded Generalized Variation with Weight
- The Existence of Moments of Solutions to Transport Equations with Inelastic Scattering and their Application in the Asymptotic Analysis
- Graph Convergence of Set-Valued Maps and its Relationship to Other Convergences
- Local Existence of Solutions of a Free Boundary Problem for Equations of Compressible Viscous Heat-Conducting Capillary Fluids
- Quotients of Quasi-Continuous Functions
- Integrals of Legendre Polynomials and Solution of Some Partial Differential Equations
- Existence Theorems for Maximal Elements in H-Spaces with Applications on the Minimax Inequalities and Equilibrium of Games
- On Continuity of Measurable Cocycles
