Smoothness of subspace sections of the unit balls of \(C(Q)\) and \(L^1\)
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Publication:2657123
DOI10.1016/j.jat.2021.105552zbMath1464.46022OpenAlexW3125464066MaRDI QIDQ2657123
I. G. Tsar'kov, Alexey R. Alimov
Publication date: 17 March 2021
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2021.105552
space of continuous functionssmooth setspace of absolutely integrable functionsnonsmooth sectionsection of the ball by a subspace
Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Banach spaces of continuous, differentiable or analytic functions (46E15)
Related Items (7)
Continuity of a metric function and projection in asymmetric spaces ⋮ Some classical problems of geometric approximation theory in asymmetric spaces ⋮ \(\mathring{B}\)-complete sets: approximative and structural properties ⋮ Solarity and proximinality in generalized rational approximation in spaces \(C(Q)\) and \(L^p\) ⋮ Existence, uniqueness, and stability of best and near-best approximations ⋮ Properties of Chebyshev generalized rational fractions in \(L_1\) ⋮ Ball-complete sets and solar properties of sets in asymmetric spaces
Cites Work
- Some suns in \(L_1\)
- Unicity and strong unicity in approximation theory
- Geometrical characterizations for nonlinear uniform approximation
- Charakterisierung bester Approximationen in normierten Vektorräumen
- Convexity of Chebyshev sets contained in a subspace
- Connectedness and solarity in problems of best and near-best approximation
- Approximative properties of sets and continuous selections
- Smooth solutions of the eikonal equation and the behaviour of local minima of the distance function
- On the structure of the complements of Chebyshev sets
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