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020 |a 9780080956558 
020 |a 9780126297508 
020 |a 0080956556 
020 |a 0126297509 
020 |a 1282289942 
050 4 |a QA329 
100 1 |a Schröder, Johann 
245 0 0 |a Operator inequalities  |c Johann Schröder 
260 |a New York  |b Academic Press  |c 1980, 1980 
300 |a xvi, 367 pages 
505 0 |a 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 
505 0 |a Includes bibliographical references (pages 343-357) and indexes 
505 0 |a Chapter III. Two-sided bounds for second order differential equations1. 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 
505 0 |a 4. Range-domain implications for linear and concave operatorsNotes; 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 
653 |a Théorie des opérateurs 
653 |a Inequalities (Mathematics) / fast / (OCoLC)fst00972020 
653 |a Inégalités (mathématiques) / ram 
653 |a Operator theory / http://id.loc.gov/authorities/subjects/sh85095029 
653 |a Ungleichung / swd 
653 |a Opérateurs, Théorie des / ram 
653 |a MATHEMATICS / Functional Analysis / bisacsh 
653 |a Operator theory / fast / (OCoLC)fst01046419 
653 |a Operator / swd 
653 |a Inequalities (Mathematics) / http://id.loc.gov/authorities/subjects/sh85065985 
653 |a Mathématiques / eclas 
653 |a Inégalités (Mathématiques) 
041 0 7 |a eng  |2 ISO 639-2 
989 |b ZDB-1-ELC  |a Elsevier eBook collection Mathematics 
490 0 |a Mathematics in science and engineering 
776 |z 0080956556 
776 |z 9780080956558 
776 |z 9780126297508 
776 |z 0126297509 
856 4 0 |u https://www.sciencedirect.com/science/bookseries/00765392/147  |x Verlag  |3 Volltext 
082 0 |a 515.7/24