Preliminaries

Abstract

Unless otherwise specified, E will be a real or complex normed linear space. A complete normed linear space is called a Banach space. E’ is the dual space, i.e., the Banach space of continuous linear functionals, equipped with the norm \(\left\| l \right\| = \mathop {\sup }\limits_{\left\| x \right\| = 1} \left| {l\left( x \right)} \right|\).KeywordsNormed Linear SpaceSmooth Banach SpaceStrong UniquenessCharacterization TheoremGaussian Quadrature FormulaThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.