Types of convergence which preserve continuity

DOI10.14321/REALANALEXCH.45.1.0173zbMath1440.26004OpenAlexW3017795823MaRDI QIDQ2188806

Simon Reinwand

Publication date: 11 June 2020

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rae/1588989626

zbMATH Keywords

pointwise convergencefunctions of bounded variationcompact metric spacesquasilocallycontinuity of composition operatorssemi and continuously uniform convergencesequences of composition operatorssequences of continuous functions in metric spaces

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Convergence and divergence of series and sequences of functions (40A30) Functions of bounded variation, generalizations (26A45)

Related Items (1)

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Cites Work

• On continuity and compactness of some nonlinear operators in the spaces of functions of bounded variation
• Arzelà's theorem and strong uniform convergence on bornologies
• Geometric measure theory.
• On the continuity of superposition operators in the space of functions of bounded variation
• Composing Functions of Bounded Variation
• Convergence in Variation and Related Topics
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