@article{Cobzaş_Mustăţa_2004, title={Extension of bounded linear functionals and best approximation in spaces with asymmetric norm}, volume={33}, url={https://ictp.acad.ro/jnaat/journal/article/view/2004-vol33-no1-art5}, DOI={10.33993/jnaat331-757}, abstractNote={<pre>The present paper is concerned with the characterization of the</pre><pre> elements of best approximation in a subspace \(<span>Y\)</span> of a space with</pre><pre> asymmetric norm, in terms of some linear functionals vanishing on</pre><pre><span> \(Y\)</span>. The approach is based on some extension results, proved in</pre><pre> Section 3, for bounded linear functionals on such spaces. Also,</pre><pre> the well known formula for the distance to a hyperplane in a</pre><pre> normed space is extended to the nonsymmetric case.</pre>}, number={1}, journal={Rev. Anal. Numér. Théor. Approx.}, author={Cobzaş, Ş. and Mustăţa, C.}, year={2004}, month={Feb.}, pages={39–50} }