The Chebyshev set problem in Riesz space

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

Mathematics Subject Classification ID

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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Chebyshev set problem in Riesz space