Convex Functional Analysis

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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.

Author(s): Andrew J. Kurdila, Michael Zabarankin
Series: Systems & Control: Foundations & Applications
Edition: 1
Publisher: Birkhäuser Basel
Year: 2005

Language: English
Pages: 235

front-matter.pdf......Page 1
1 Classical Abstract Spaces in Functional Analysis.pdf......Page 11
2 Linear Functionals and Linear Operators.pdf......Page 73
3 Common Function Spaces in Applications.pdf......Page 120
4 Differential Calculus in Normed Vector Spaces.pdf......Page 146
5 Minimization of Functionals.pdf......Page 169
6 Convex Functionals.pdf......Page 183
7 Lower Semicontinuous Functionals.pdf......Page 213
back-matter.pdf......Page 228