# Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces

@inproceedings{Singer1970BestAI, title={Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces}, author={Ivan Singer}, year={1970} }

espace lineaire norme # espace metrique # meilleure approximation # sous-espace lineaire # sous-espace lineaire de dimension finie # sous-espace lineaire ferme de codimension finie # element d'ensemble # element d'ensemble non-lineaire

## 791 Citations

### Characterization of best approximations in normed linear spaces of matrices by elements of finite-dimensional linear subspaces

- Mathematics
- 1981

### Characterizations of best approximations in linear 2-normed spaces 1

- Mathematics
- 2009

In this paper some characterizations of best approximation have been established in terms of 2-semi inner products and normalised duality mapping associated with a linear 2-normed space (X;k:;k).…

### Characterization of Best Approximants from Convex Subsets and Level Sets in Normed Linear Spaces

- Mathematics
- 1999

Some new characterization of best approximants from convex subsets and level sets of convex mappings in normed linear spaces in terms of norm derivatives and sub-orthogonality in Birkhoff's sense are…

### Strong unicity in normed linear spaces

- Mathematics
- 1990

We consider best approximations in a real or complex normed linear space by elements of a finite dimensional subspace. It is the purpose of this paper to characterize, when a best approximation to a…

### Characterization of best approximations in metric linear spaces

- Mathematics
- 2003

Let (X,d) be a real metric linear space, with translation-invariant metric d and G a linear subspace of X. In this paper we use functionals in the Lipschitz dual of X to characterize those elements…

### Norming points and unique minimality of orthogonal projections

- Mathematics
- 2006

We study the norming points and norming functionals of symmetric
operators on Lp spaces for p=2m or p=2m/(2m−1). We prove some general result relating uniqueness of minimal
projection to the set of…

### Farthest Points in Normed Linear Spaces 1

- Mathematics
- 2006

In this paper we established a characterization of farthest points in a normed linear spaces. We also provide some application of farthest points in the space C(Q) and CR(Q).