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Convexity and Optimization in Banach Spaces
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Catalogue Information
Field name
Details
Dewey Class
519.6
Title
Convexity and Optimization in Banach Spaces ([Ebook]) / by Viorel Barbu, Teodor Precupanu.
Author
Barbu, Viorel
Added Personal Name
Precupanu, Teodor
Other name(s)
SpringerLink (Online service)
Edition statement
4th ed. 2012.
Publication
Dordrecht : Springer Netherlands
, 2012.
Physical Details
XII, 368 pages : online resource.
Series
Springer monographs in mathematics
1439-7382
ISBN
9789400722477
Summary Note
An updated and revised edition of the 1986 title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces. The main emphasis is on applications to convex optimization and convex optimal control problems in Banach spaces. A distinctive feature is a strong emphasis on the connection between theory and application. This edition has been updated to include new results pertaining to advanced concepts of subdifferential for convex functions and new duality results in convex programming. The last chapter, concerned with convex control problems, has been rewritten and completed with new research concerning boundary control systems, the dynamic programming equations in optimal control theory and periodic optimal control problems. Finally, the structure of the book has been modified to highlight the most recent progression in the field including fundamental results on the theory of infinite-dimensional convex analysis and includes helpful bibliographical notes at the end of each chapter.:
Contents note
Fundamentals of Functional Analysis -- Convex Functions -- Convex Programming -- Convex Control Problems in Banach Spaces.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-94-007-2247-7
Links to Related Works
Subject References:
Banach spaces
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Convexity spaces
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Mathematical optimization
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Optimization
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Authors:
author
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Barbu, Viorel
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Precupanu, Teodor
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Corporate Authors:
SpringerLink (Online service)
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Series:
Springer monographs in mathematics
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Classification:
519.6
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519.6 (DDC 23)
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