vix.ing · top · new · best · stats · spec

A note on the best approximation in spaces of affine functions

2019/07/23 by Maysam Maysami Sadr, Sadr, Maysam Maysami
Computer Science · Mathematics · #41A65. 52A07 #Advanced Banach Space Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1907.10027

openalex publication_date 2019/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The proximinality of certain subspaces of spaces of bounded affine functions is proved. The results presented here are some linear versions of an old result due to Mazur. For the proofs we use some sandwich theorems of Fenchel's duality theory.

Related