The Chebyshev set problem in Riesz space
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Publication:2138126
DOI10.1155/2022/4343472zbMath1504.41036OpenAlexW4220737409MaRDI QIDQ2138126
Jiarui Zhao, Shengwei Wu, Yanyan Xu, Na Cheng, Guang-Gui Chen
Publication date: 11 May 2022
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2022/4343472
Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Ordered topological linear spaces, vector lattices (46A40)
Cites Work
- Monotonicity and best approximation in Banach lattices
- Strictly and uniformly monotone Musielak-Orlicz spaces and applications to best approximation
- Monotonicity properties of Musielak-Orlicz spaces and dominated best approximation in Banach lattices
- On unbounded order convergence
- Full lattice convergence on Riesz spaces
- Unbounded order convergence and application to martingales without probability
- Partially ordered linear spaces and locally convex linear topological spaces
- Multiplicative order convergence in $f$-algebras
- The Approximation Problem for Banach Spaces
- Abstract Linear Dependence and Lattices
- Lattices and their applications
- A ternary operation in distributive lattices
- Representations of Lattices by Sets
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