Arzelà-Ascoli's theorem in uniform spaces

DOI10.3934/dcdsb.2018020zbMath1390.46029arXiv1602.05693OpenAlexW2964172840MaRDI QIDQ1678308

Mateusz Krukowski

Publication date: 14 November 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05693

zbMATH Keywords

Arzelà-Ascoli theoremuniform spacesuniformity of uniform convergence (on compacta)

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Uniform structures and generalizations (54E15)

Related Items (3)

Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions ⋮ A measure of non-compactness on T_3½ spaces based on Arzelà-Ascoli type theorem ⋮ Arzelà-Ascoli theorem via the Wallman compactification

Cites Work

• Compactness result and its applications in integral equations
• Functional analysis, Sobolev spaces and partial differential equations
• Distributions
• The existence of bounded solutions for differential equations in Hilbert spaces
• Hammerstein equations with an integral over a noncompact domain
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