Operator Inequalities
Published on 14. May 2014
384 pages
978-0-08-095655-8 (ISBN)
Description
Operator Inequalities
More details
Series
Language
English
Place of publication
San Diego
United States
ISBN-13
978-0-08-095655-8 (9780080956558)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Johann Schroder
Operator Inequalities
Book
01/1980
Academic Press
€71.19
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Content
- Front Cover
- Operator Inequalities
- Copyright Page
- Contents
- Preface
- Acknowledgments
- Some remarks concerning notation
- Chapter I. Some results on functional analysis
- 1. Basic concepts of order theory
- 2. Convex sets
- 3. Fixed-point theorems and other means of functional analysis
- Notes
- Chapter II. Inverse-positive linear operators
- 1. An abstract theory
- 2. M-matrices
- 3. Differential operators of the second order, pointwise inequalities
- 4. Abstract theory (continuation)
- 5. Numerical applications
- 6. Further Results
- Notes
- Chapter III. Two-sided bounds for second order differential equations
- 1. The concept of an inverse-monotone operator
- 2. Inverse-monotone differential operators
- 3. Inverse-rnonotonicity with weak differential inequalities
- 4. Existence and inclusion for two-point boundary Value Problems
- 5. Existence and inclusion by weak comparison functions
- 6. Error estimates
- Notes
- Chapter IV. An estimation theory for linear and nonlinear operators, range-domain implications
- 1. Sufficient conditions, general theory
- 2. Inverse-monotone operators
- 3. Inclusion by upper and lower bounds
- 4. Range-domain implications for linear and concave operators
- Notes
- Chapter V. Estimation and existence theory for vector-valued differential operators
- 1. Description of the problem, assumptions, notation
- 2. Two-sided bounds by range-domain implications
- 3. Existence and inclusion by two-sided bounds
- 4. Pointwise norm bounds by range-domain implications
- 5. Existence and estimation by norm bounds
- 6. More general estimates
- Notes
- References
- Notation index
- Subject index
