Anzeige
Erschienen in:
2018 | OriginalPaper | Buchkapitel
9. Continuous Linear Functionals
verfasst von : Vladimir Kadets
Erschienen in: A Course in Functional Analysis and Measure Theory
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Abstract
In this chapter we address the following subjects: the connection between real and complex functionals; the Hahn–Banach extension theorem for continuous functionals; supporting functionals; the annihilator of a subspace; complete systems of elements of a normed space; the Hahn–Banach separation theorem for convex sets; the connection between properties of an operator and those of its adjoint; and the duality between subspaces and quotient spaces.