EntityQ866116· pop 24· linked from 491 articlesHahn–Banach theoremSign in to savetheorem on extension of bounded linear functionalsConnectionstopological vector spaceEntitylinear mapEntitylocally convex spaceEntitycontinuous linear operatorEntitycomplex numberEntitycontinuous functionEntityidentity functionEntitycompact spaceEntitynormed vector spaceEntityhyperplaneEntitydual spaceEntitylinear functionalEntitybilinear mapEntityopen mapping theoremEntitybounded operatorEntityseminormEntitybalanced setEntityreflexive spaceEntityweak topologyEntityconvex coneEntityCategoriesLinear algebraLinear functionalsTheorems in functional analysisTopological vector spaces