Picture 1 of 5

Stock photo

ELEMENTS OF FUNCTIONAL ANALYSIS (GRADUATE TEXTS IN By Francis Hirsch & Gilles - Picture 1 of 5

ELEMENTS OF FUNCTIONAL ANALYSIS (GRADUATE TEXTS IN By Francis Hirsch & Gilles - Picture 2 of 5

ELEMENTS OF FUNCTIONAL ANALYSIS (GRADUATE TEXTS IN By Francis Hirsch & Gilles - Picture 3 of 5

ELEMENTS OF FUNCTIONAL ANALYSIS (GRADUATE TEXTS IN By Francis Hirsch & Gilles - Picture 4 of 5

ELEMENTS OF FUNCTIONAL ANALYSIS (GRADUATE TEXTS IN By Francis Hirsch & Gilles - Picture 5 of 5

Graduate Texts in Mathematics Ser.: Elements of Functional Analysis by Gilles Lacombe and Francis Hirsch (1999, Hardcover)

Be the first towrite a review.

billondillon (3214)
100% positive feedback

Price:

$39.00

+ US $4.50 shipping

Estimated delivery Tue, Jun 25 - Sat, Jun 29

Returns:

30 days returns. Seller pays for return shipping.

Condition:

Very Good

Condition : VERY GOOD, clean unmarked pages.

About this product

Product Information

This book arose from a course taught for several years at the Univer- sity of Evry-Val d'Essonne. It is meant primarily for graduate students in mathematics. To make it into a useful tool, appropriate to their knowl- edge level, prerequisites have been reduced to a minimum: essentially, basic concepts of topology of metric spaces and in particular of normed spaces (convergence of sequences, continuity, compactness, completeness), of "ab- stract" integration theory with respect to a measure (especially Lebesgue measure), and of differential calculus in several variables. The book may also help more advanced students and researchers perfect their knowledge of certain topics. The index and the relative independence of the chapters should make this type of usage easy. The important role played by exercises is one of the distinguishing fea- tures of this work. The exercises are very numerous and written in detail, with hints that should allow the reader to overcome any difficulty. Answers that do not appear in the statements are collected at the end of the volume. There are also many simple application exercises to test the reader's understanding of the text, and exercises containing examples and coun- terexamples, applications of the main results from the text, or digressions to introduce new concepts and present important applications. Thus the text and the exercises are intimately connected and complement each other.

Product Identifiers

Publisher
Springer New York
ISBN-10
0387985247
ISBN-13
9780387985244
eBay Product ID (ePID)
870084

Product Key Features

Author
Francis Hirsch, Gilles Lacombe
Publication Name
Elements of Functional Analysis
Format
Hardcover
Language
English
Subject
Functional Analysis, Mathematical Analysis
Series
Graduate Texts in Mathematics Ser.
Publication Year
1999
Type
Textbook
Subject Area
Mathematics
Number of Pages
Xiv, 396 Pages

Dimensions

Item Length
9.3 in
Item Height
0.4 in
Item Width
6.1 in
Item Weight
59.6 Oz

Additional Product Features

LCCN
98-053153
Series Volume Number
192
Number of Volumes
1 Vol.
Lc Classification Number
Qa1-939
Table of Content
Prologue: Sequences.- 1 Countability.- 2 Separability.- 3 The Diagonal Procedure.- 4 Bounded Sequences of Continuous Linear Maps.- I Function Spaces and Their Duals.- 1 The Space of Continuous Functions on a Compact Set.- 1 Generalities.- 2 The Stone--Weierstrass Theorems.- 3 Ascoli's Theorem.- 2 Locally Compact Spaces and Radon Measures.- 1 Locally Compact Spaces.- 2 Daniell's Theorem.- 3 Positive Radon Measures.- 3A Positive Radon Measures on $${{\mathbb{R}}^{d}}$$ and the Stieltjes Integral.- 3B Surface Measure on Spheres in $${{\mathbb{R}}^{d}}$$.- 4 Real and Complex Radon Measures.- 3 Hilbert Spaces.- 1 Definitions, Elementary Properties, Examples.- 2 The Projection Theorem.- 3 The Riesz Representation Theorem.- 3A Continuous Linear Operators on a Hilbert Space.- 3B Weak Convergence in a Hilbert Space.- 4 Hilbert Bases.- 4 LpSpaces.- 1 Definitions and General Properties.- 2 Duality.- 3 Convolution.- II Operators.- 5 Spectra.- 1 Operators on Banach Spaces.- 2 Operators in Hilbert Spaces.- 2A Spectral Properties of Hermitian Operators.- 2B Operational Calculus on Hermitian Operators.- 6 Compact Operators.- 1 General Properties.- lA Spectral Properties of Compact Operators.- 2 Compact Selfadjoint Operators.- 2A Operational Calculus and the Fredholm Equation.- 2B Kernel Operators.- III Distributions.- 7 Definitions and Examples.- 1 Test Functions.- lA Notation.- 1B Convergence in Function Spaces.- 1C Smoothing.- 1D C?Partitions of Unity.- 2 Distributions.- 2A Definitions.- 2B First Examples.- 2C Restriction and Extension of a Distribution to an Open Set.- 2D Convergence of Sequences of Distributions.- 2E Principal Values.- 2F Finite Parts.- 3 Complements.- 3A Distributions of Finite Order.- 3B The Support of a Distribution.- 3C Distributions with Compact Support.- 8 Multiplication and Differentiation.- 1 Multiplication.- 2 Differentiation.- 3 Fundamental Solutions of a Differential Operator.- 3A The Laplacian.- 3B The Heat Operator.- 3C The Cauchy-Riemann Operator.- 9 Convolution of Distributions.- 1 Tensor Product of Distributions.- 2 Convolution of Distributions.- 2A Convolution in ?'.- 2B Convolution in D'.- 2C Convolution of a Distribution with a Function.- 3 Applications.- 3A Primitives and Sobolev's Theorem.- 3B Regularity.- 3C Fundamental Solutions and Partial Differential Equations.- 3D The Algebra D+'.- 10 The Laplacian on an Open Set.- 1 The spaces H1(?) and H01(?).- 2 The Dirichlet Problem.- 2A The Dirichlet Problem.- 2B The Heat Problem.- 2C The Wave Problem.- Answers to the Exercises.
Copyright Date
1999
Target Audience
Scholarly & Professional
Dewey Decimal
515.7
Dewey Edition
21
Illustrated
Yes

No ratings or reviews yetNo ratings or reviews yet

Be the first to write a review

Best Selling in Textbooks

See all

Current slide {CURRENT_SLIDE} of {TOTAL_SLIDES}- Best Selling in Textbooks

Designing Data-Intensive Applications : The Big Ideas Behind Reliable, Scalable, and Maintainable Systems by Martin Kleppmann (2017, Trade Paperback)
4.9 out of 5 stars based on 17 product ratings
$18.05 New
$16.99 Used
Self Heal by Design : The Role of Micro-Organisms for Health by Barbara O'Neill (2018, Trade Paperback)
5.0 out of 5 stars based on 23 product ratings
$28.60 New
---- Used
Encyclopedia of Counseling : Master Review and Tutorial for the National Counselor Examination, State Counseling Exams, and the Counselor Preparation Comprehensive Examination by Howard Rosenthal (2017, Trade Paperback, Revised edition,New Edition)
4.9 out of 5 stars based on 17 product ratings
$23.98 New
$21.99 Used
NFPA 70® Handbook with Tabs : 2023 Edition by National Fire Protection Association (NFPA) (2022, Hardcover)
No ratings or reviews yet
$46.50 New
---- Used
Cognitive Behavior Therapy : Basics and Beyond by Judith S. Beck (2020, Hardcover)
5.0 out of 5 stars based on 4 product ratings
$17.00 New
$9.99 Used
Research Design : Qualitative, Quantitative, and Mixed Methods Approaches by J. David Creswell and John W. Creswell (2022, Trade Paperback)
4.2 out of 5 stars based on 5 product ratings
$15.00 New
$6.99 Used
Leadership : Theory and Practice by Peter G. Northouse (2021, Trade Paperback, Revised edition)
5.0 out of 5 stars based on 1 product rating
$19.98 New
$8.99 Used

Save on Textbooks

Current slide {CURRENT_SLIDE} of {TOTAL_SLIDES}- Save on Textbooks

Brand New :Leadership: Theory and Practice by Peter G. Northouse 9th ED
$19.75
Trending at $21.00
The Mountain is You Transforming Self Sabotage Into Self Mastery Brianna Wiest
$10.99
Trending at $11.49
NFPA 70 - National Electrical Code - 2023 Edition - NEW
$32.95
Trending at $41.05
Desk Reference to the Diagnostic Criteria from DSM-5-TR by American Psychiatric
$10.00
Trending at $12.10
Basic Life Support Provider Manual by American Heart Association (2020, Trade...
$13.99
Trending at $15.92
NEW Publication Manual APA 7th Ed Spiral w/Tabs. Authentic
$15.00
Trending at $23.95

Shop by category

Picture 1 of 5

Graduate Texts in Mathematics Ser.: Elements of Functional Analysis by Gilles Lacombe and Francis Hirsch (1999, Hardcover)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Textbooks

Designing Data-Intensive Applications : The Big Ideas Behind Reliable, Scalable, and Maintainable Systems by Martin Kleppmann (2017, Trade Paperback)

Self Heal by Design : The Role of Micro-Organisms for Health by Barbara O'Neill (2018, Trade Paperback)

Encyclopedia of Counseling : Master Review and Tutorial for the National Counselor Examination, State Counseling Exams, and the Counselor Preparation Comprehensive Examination by Howard Rosenthal (2017, Trade Paperback, Revised edition,New Edition)

NFPA 70® Handbook with Tabs : 2023 Edition by National Fire Protection Association (NFPA) (2022, Hardcover)

Cognitive Behavior Therapy : Basics and Beyond by Judith S. Beck (2020, Hardcover)

Research Design : Qualitative, Quantitative, and Mixed Methods Approaches by J. David Creswell and John W. Creswell (2022, Trade Paperback)

Leadership : Theory and Practice by Peter G. Northouse (2021, Trade Paperback, Revised edition)

Save on Textbooks

Brand New :Leadership: Theory and Practice by Peter G. Northouse 9th ED

The Mountain is You Transforming Self Sabotage Into Self Mastery Brianna Wiest

NFPA 70 - National Electrical Code - 2023 Edition - NEW

Desk Reference to the Diagnostic Criteria from DSM-5-TR by American Psychiatric

Basic Life Support Provider Manual by American Heart Association (2020, Trade...

NEW Publication Manual APA 7th Ed Spiral w/Tabs. Authentic

You may also like

Mathematics Hardcover Textbooks

Mathematics Textbook Hardcover Textbooks

Mathematics Study Hardcovers Prep

Mathematics Hardcover Illustrated Nonfiction Books

Mathematics Hardcover Antiquarian & Collectible Books

Mathematics Study Hardcovers Prep in Russian