Convex Functional Analysis

2005
ISBN: 978-3-7643-2198-7
Verlag: Springer

Buch, Englisch, 228 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1160 g

Reihe: Systems & Control: Foundations & Applications

This volume is dedicated to the fundamentals of convex functional analysis. It presents those aspects of functional analysis that are extensively used in various applications to mechanics and control theory.

The purpose of the text is essentially two-fold. On the one hand, a bare minimum of the theory required to understand the principles of functional, convex and set-valued analysis is presented. Numerous examples and diagrams provide as intuitive an explanation of the principles as possible. On the other hand, the volume is largely self-contained. Those with a background in graduate mathematics will find a concise summary of all main definitions and theorems.

Zielgruppe

Research

Autoren/Hrsg.

Kurdila, Andrew J.

Zabarankin, Michael

Fachgebiete

• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Überwachungstechnik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Classical Abstract Spaces in Functional Analysis.- Linear Functionals and Linear Operators.- Common Function Spaces in Applications.- Differential Calculus in Normed Vector Spaces.- Minimization of Functionals.- Convex Functionals.- Lower Semicontinuous Functionals.