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Introduction to Optimization Theory in a Hilbert Space

  • Book
  • © 1971

Overview

Authors:
  1. A. V. Balakrishnan

    1. University of California, Los Angeles, USA

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Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 42)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-v
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  2. Basic Properties of Hilbert Spaces

    • A. V. Balakrishnan
    Pages 1-51

  3. Functions, Transformations, Operators

    • A. V. Balakrishnan
    Pages 51-78

  4. Semigroups of Linear Operators

    • A. V. Balakrishnan
    Pages 79-118

  5. Probability Measures on a Hilbert Space

    • A. V. Balakrishnan
    Pages 119-152

  6. Back Matter

    Pages 153-157
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Keywords

About this book

This book is based on lectures given in a one-quarter course at UCLA. The aim. is to present som.e of the basic concepts and techniques of Functional Analys.is of relevance to optim.ization problem.s in Control. Com.m.unication and other areas in System. Science. The students are expected to have had an introductory course in Hilbert Space theory. Som.e effort has been m.ade to be self-contained m.ainly in order that the vocabularly used can be clarified. A m.inim.al bibliography is appended. The author is indebted to Jiri Ruzicka and Jerom.e Mersky for help with proof-reading. Profes sor L. Berkovitz looked over and m.ade m.any helpful corn.rn.ents on parts of an early version. Thanks are also due to Trudy Cook for typing the m.anuscript. Grateful acknowledgem.ent is also m.ade of partial support under AFOSR Grant No. 68-1408, Applied Mathem.atics Division, United Stat s Air Force.

Authors and Affiliations

  • University of California, Los Angeles, USA

    A. V. Balakrishnan

Bibliographic Information

  • Book Title: Introduction to Optimization Theory in a Hilbert Space

  • Authors: A. V. Balakrishnan

  • Series Title: Lecture Notes in Economics and Mathematical Systems

  • DOI: https://doi.org/10.1007/978-3-642-96036-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1971

  • eBook ISBN: 978-3-642-96036-9Published: 06 December 2012

  • Series ISSN: 0075-8442

  • Series E-ISSN: 2196-9957

  • Edition Number: 1

  • Number of Pages: IV, 157

  • Topics: Operations Research/Decision Theory

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