Introduction to Optimization Theory in a Hilbert Space
General Material Designation
[Book]
First Statement of Responsibility
by A.V. Balakrishnan.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin, Heidelberg
Name of Publisher, Distributor, etc.
Springer Berlin Heidelberg
Date of Publication, Distribution, etc.
1971
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
(iv, 157 pages)
SERIES
Series Title
Lecture Notes in Operations Research and Mathematical Systems, Economics, Computer Science, Information and Control, 42.
CONTENTS NOTE
Text of Note
I: Basic Properties of Hilbert Spaces --; II: Functions, Transformations, Operators --; III: Semigroups of Linear Operators --; IV: Probability Measures on a Hilbert Space.
SUMMARY OR ABSTRACT
Text of Note
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.