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＜電子ブック＞
Convex Functional Analysis / by Andrew J. Kurdila, Michael Zabarankin
(Systems & Control: Foundations & Applications. ISSN:23249757)

版	1st ed. 2005.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2005
本文言語	英語
大きさ	XIV, 228 p : online resource
著者標目	*Kurdila, Andrew J author Zabarankin, Michael author SpringerLink (Online service)
件　名	LCSH:System theory LCSH:Control theory FREE:Systems Theory, Control
一般注記	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 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. Contents: 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 HTTP:URL=https://doi.org/10.1007/3-7643-7357-1

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