Applied functional analysis / (Record no. 20998)

MARC details
000 -LEADER
fixed length control field 04871cam a2200349 i 4500
001 - CONTROL NUMBER
control field 11300428
003 - CONTROL NUMBER IDENTIFIER
control field EG-ScBUE
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240929091938.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 121227s1981 nyu f b 001 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781461258650
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781461258674 (print)
040 ## - CATALOGING SOURCE
Original cataloging agency EG-ScBUE
Language of cataloging eng
Description conventions rda
Transcribing agency EG-ScBUE
Modifying agency WaSeSS
-- EG-ScBUE
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515
Edition number 22
Item number BAL
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Balakrishnan, A. V.,
Relator term author.
9 (RLIN) 38588
245 10 - TITLE STATEMENT
Title Applied functional analysis /
Statement of responsibility, etc A. V. Balakrishnan.
250 ## - EDITION STATEMENT
Edition statement Second edition.
264 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc New York :
Name of publisher, distributor, etc Springer-Verlag,
Date of publication, distribution, etc 1981.
300 ## - PHYSICAL DESCRIPTION
Extent xiii, 373 pages ;
Accompanying material 24 cm.
336 ## - CONTENT TYPE
Source rdacontent
Content type term text
Content type code txt
337 ## - MEDIA TYPE
Media type term unmediated
Source rdamedia
Media type code n
338 ## - CARRIER TYPE
Carrier type term volume
Carrier type code nc
Source rdacarrier
490 0# - SERIES STATEMENT
Series statement Applications of mathematics ;
Volume number/sequential designation 3
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.<br/>
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1 Basic Properties of Hilbert Spaces -- 1.0 Introduction -- 1.1 Basic Definitions -- 1.2 Examples of Hilbert Spaces -- 1.3 Hilbert Spaces from Hilbert Spaces -- 1.4 Convex Sets and Projections -- 1.5 Orthogonality and Orthonormal Bases -- 1.6 Continuous Linear Functionals -- 1.7 Riesz Representation Theorem -- 1.8 Weak Convergence -- 1.9 Nonlinear Functionals and Generalized Curves -- 1.10 The Hahn-Banach Theorem -- 2 Convex Sets and Convex Programming -- 2.0 Introduction -- 2.1 Elementary Notions -- 2.2 Support Functional of a Convex Set -- 2.3 Minkowski Functional -- 2.4 The Support Mapping -- 2.5 Separation Theorem -- 2.6 Application to Convex Programming -- 2.7 Generalization to Infinite Dimensional Inequalities -- 2.8 A Fundamental Result of Game Theory: Minimax Theorem -- 2.9 Application: Theorem of Farkas -- 3 Functions, Transformations, Operators -- 3.0 Introduction -- 3.1 Linear Operators and their Adjoints -- 3.2 Spectral Theory of Operators -- 3.3 Spectral Theory of Compact Operators -- 3.4 Operators on Separable Hilbert Spaces -- 3.5 L2 Spaces over Hilbert Spaces -- 3.6 Multilinear Forms -- 3.7 Nonlinear Volterra Operators -- 4 Semigroups of Linear Operators -- 4.0 Introduction -- 4.1 Definitions and General Properties of Semigroups -- 4.2 Generation of Semigroups -- 4.3 Semigroups over Hilbert Spaces: Dissipative Semigroups -- 4.4 Compact Semigroups -- 4.5 Analytic (Holomorphic) Semigroups -- 4.6 Elementary Examples of Semigroups -- 4.7 Extensions -- 4.8 Differential Equations: Cauchy Problem -- 4.9 Controllability -- 4.10 State Reduction: Observability -- 4.11 Stability and Stabilizability -- 4.12 Boundary Input: An Example -- 4.13 Evolution Equations -- 5 Optimal Control Theory -- 5.0 Introduction -- 5.1 Preliminaries -- 5.2 Linear Quadratic Regulator Problem -- 5.3 Linear Quadratic Regulator Problem: Infinite Time Interval -- 5.4 Hard Constraints -- 5.5 Final Value Control -- 5.6 Time Optimal Control Problem -- 6 Stochastic Optimization Theory -- 6.0 Introduction -- 6.1 Preliminaries -- 6.2 Measures on Cylinder Sets -- 6.3 Characteristic Functions and Countable Additivity -- 6.4 Weak Random Variables -- 6.5 Random Variables -- 6.6 White Noise -- 6.7 Differential Systems -- 6.8 The Filtering Problem -- 6.9 Stochastic Control -- 6.10 Physical Random Variables -- 6.11 Radon-Nikodym Derivatives -- 6.12 Nonlinear Stochastic Equations.
506 ## - RESTRICTIONS ON ACCESS NOTE
Terms governing access License restrictions may limit access.
520 ## - SUMMARY, ETC.
Summary, etc In preparing the second edition, I have taken advantage of the opportunity to correct errors as well as revise the presentation in many places. New material has been included, in addition, reflecting relevant recent work. The help of many colleagues (and especially Professor J. Stoer) in ferreting out errors is gratefully acknowledged. I also owe special thanks to Professor v. Sazonov for many discussions on the white noise theory in Chapter 6. February, 1981 A. V. BALAKRISHNAN v Preface to the First Edition The title "Applied Functional Analysis" is intended to be short for "Functional analysis in a Hilbert space and certain of its applications," the applications being drawn mostly from areas variously referred to as system optimization or control systems or systems analysis. One of the signs of the times is a discernible tilt toward application in mathematics and conversely a greater level of mathematical sophistication in the application areas such as economics or system science, both spurred undoubtedly by the heightening pace of digital computer usage. This book is an entry into this twilight zone. The aspects of functional analysis treated here are rapidly becoming essential in the training at the advance graduate level of system scientists and/or mathematical economists. There are of course now available many excellent treatises on functional analysis.
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Source of heading or term BUEsh
9 (RLIN) 2018
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Global analysis (Mathematics)
Source of heading or term BUEsh
9 (RLIN) 12358
653 ## - INDEX TERM--UNCONTROLLED
Resource For college Engineering, Electrical
Arrived date list October2015
655 ## - INDEX TERM--GENRE/FORM
Form subdivision Reading book
9 (RLIN) 34232
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Book - Borrowing
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Shelving location Date acquired Source of acquisition Total Checkouts Total Renewals Full call number Barcode Date last seen Date checked out Price effective from Koha item type
    Dewey Decimal Classification     Baccah Central Library Central Library First floor 27/10/2015 Purchase 2 7 515 BAL 000031190 15/07/2025 07/12/2017 27/10/2015 Book - Borrowing

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