Analytic approximations of uniformly continuous functions in real Banach spaces

DOI10.1006/jmaa.2000.7291zbMath0985.46009OpenAlexW2079905911MaRDI QIDQ5937649

Petr Jájek, Manuel Cepedello Boiso

Publication date: 21 May 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7291

zbMATH Keywords

approximated by analytic operatorsproperty (K)separable real Banach spaceseparating analytic functionuniform behaviour of raddi of convergenceuniformly continuous mapping

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Related Items (7)

Symmetric polynomials on the Cartesian power of the real Banach space \(L_\infty[0,1\)] ⋮ Real analytic approximation of Lipschitz functions on Hilbert space and other Banach spaces ⋮ A note on the range of the derivatives of analytic approximations of uniformly continuous functions on \(c_0\) ⋮ Asymptotic structure, \(\ell_p\)-estimates of sequences, and compactness of multilinear mappings ⋮ Density and extension of differentiable functions on metric measure spaces ⋮ Approximation of continuous functions on complex Banach spaces ⋮ Smooth bump functions and the geometry of Banach spaces. A brief survey

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometrical implications of the existence of very smooth bump functions in Banach spaces
• Entire functions on \(c_ 0\)
• Weakly continuous mappings on Banach spaces
• Norms with locally Lipschitzian derivatives
• Analytic and polyhedral approximation of convex bodies in separable polyhedral Banach spaces
• Analytic approximation on \(c_0\)
• Subspaces of \(c_0 (\mathbb{N})\) and Lipschitz isomorphisms
• Contributions to the theory of the classical Banach spaces
• SEPARATING POLYNOMIALS ON BANACH SPACES
• On approximation in real Banach spaces by analytic operations
• Property (M), M-ideals, and almost isometric structure of Banach spaces.
• Analytic norms in Orlicz spaces
• Analytic operations in real Banach spaces
• On approximation in real Banach spaces

This page was built for publication: Analytic approximations of uniformly continuous functions in real Banach spaces