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|a Schröder, Johann,
|d 1925-
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|a Operator inequalities /
|c Johann Schröder.
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|a New York :
|b Academic Press,
|c 1980.
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|a 1 online resource (xvi, 367 pages)
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|a text
|b txt
|2 rdacontent
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|a online resource
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|a Mathematics in science and engineering ;
|v v. 147
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|a Includes bibliographical references (pages 343-357) and indexes.
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|a Print version record.
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|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
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|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
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|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
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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|a Operator theory.
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|a Inequalities (Mathematics)
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|a Théorie des opérateurs.
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|a Inégalités (Mathématiques)
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|a MATHEMATICS
|x Functional Analysis.
|2 bisacsh
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|a Mathématiques.
|2 eclas
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|a Inequalities (Mathematics)
|2 fast
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|a Operator theory
|2 fast
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|a Operator
|2 gnd
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|a Ungleichung
|2 gnd
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|a Opérateurs, Théorie des.
|2 ram
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|a Inégalités (mathématiques)
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|i Print version:
|a Schröder, Johann, 1925-
|t Operator inequalities.
|d New York : Academic Press, 1980
|z 9780126297508
|w (DLC) 79028754
|w (OCoLC)5942793
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830 |
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|a Mathematics in science and engineering ;
|v v. 147.
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