Operator inequalities /:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York :
Academic Press,
1980.
|
| Schriftenreihe: | Mathematics in science and engineering ;
v. 147. |
| Schlagworte: | |
| Online-Zugang: | Volltext Volltext |
| Beschreibung: | 1 online resource (xvi, 367 pages) |
| Bibliographie: | Includes bibliographical references (pages 343-357) and indexes. |
| ISBN: | 9780126297508 0126297509 9780080956558 0080956556 1282289942 9781282289949 |
Internformat
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| 245 | 1 | 0 | |a Operator inequalities / |c Johann Schröder. |
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| 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 | 8 | |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 | 8 | |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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| adam_text | |
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| author | Schröder, Johann, 1925- |
| author_GND | http://id.loc.gov/authorities/names/n78003853 |
| author_facet | Schröder, Johann, 1925- |
| author_role | |
| author_sort | Schröder, Johann, 1925- |
| author_variant | j s js |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA329 |
| callnumber-raw | QA329 .S37 1980eb |
| callnumber-search | QA329 .S37 1980eb |
| callnumber-sort | QA 3329 S37 41980EB |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 620 |
| collection | ZDB-4-EBA |
| contents | 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 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 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 |
| ctrlnum | (OCoLC)316552955 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7/24 |
| dewey-search | 515.7/24 |
| dewey-sort | 3515.7 224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:16:42Z |
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| isbn | 9780126297508 0126297509 9780080956558 0080956556 1282289942 9781282289949 |
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| series2 | Mathematics in science and engineering ; |
| spelling | Schröder, Johann, 1925- https://id.oclc.org/worldcat/entity/E39PBJB8qVMcbkvqhyCWj3DjG3 http://id.loc.gov/authorities/names/n78003853 Operator inequalities / Johann Schröder. New York : Academic Press, 1980. 1 online resource (xvi, 367 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Mathematics in science and engineering ; v. 147 Includes bibliographical references (pages 343-357) and indexes. Print version record. 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 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 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 Operator theory. http://id.loc.gov/authorities/subjects/sh85095029 Inequalities (Mathematics) http://id.loc.gov/authorities/subjects/sh85065985 Théorie des opérateurs. Inégalités (Mathématiques) MATHEMATICS Functional Analysis. bisacsh Mathématiques. eclas Inequalities (Mathematics) fast Operator theory fast Operator gnd http://d-nb.info/gnd/4130529-2 Ungleichung gnd http://d-nb.info/gnd/4139098-2 Opérateurs, Théorie des. ram Inégalités (mathématiques) ram Print version: Schröder, Johann, 1925- Operator inequalities. New York : Academic Press, 1980 9780126297508 (DLC) 79028754 (OCoLC)5942793 Mathematics in science and engineering ; v. 147. http://id.loc.gov/authorities/names/n42015986 FWS01 ZDB-4-EBA FWS_PDA_EBA https://www.sciencedirect.com/science/bookseries/00765392/147 Volltext FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297155 Volltext |
| spellingShingle | Schröder, Johann, 1925- Operator inequalities / Mathematics in science and engineering ; 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 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 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 Operator theory. http://id.loc.gov/authorities/subjects/sh85095029 Inequalities (Mathematics) http://id.loc.gov/authorities/subjects/sh85065985 Théorie des opérateurs. Inégalités (Mathématiques) MATHEMATICS Functional Analysis. bisacsh Mathématiques. eclas Inequalities (Mathematics) fast Operator theory fast Operator gnd http://d-nb.info/gnd/4130529-2 Ungleichung gnd http://d-nb.info/gnd/4139098-2 Opérateurs, Théorie des. ram Inégalités (mathématiques) ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85095029 http://id.loc.gov/authorities/subjects/sh85065985 http://d-nb.info/gnd/4130529-2 http://d-nb.info/gnd/4139098-2 |
| title | Operator inequalities / |
| title_auth | Operator inequalities / |
| title_exact_search | Operator inequalities / |
| title_full | Operator inequalities / Johann Schröder. |
| title_fullStr | Operator inequalities / Johann Schröder. |
| title_full_unstemmed | Operator inequalities / Johann Schröder. |
| title_short | Operator inequalities / |
| title_sort | operator inequalities |
| topic | Operator theory. http://id.loc.gov/authorities/subjects/sh85095029 Inequalities (Mathematics) http://id.loc.gov/authorities/subjects/sh85065985 Théorie des opérateurs. Inégalités (Mathématiques) MATHEMATICS Functional Analysis. bisacsh Mathématiques. eclas Inequalities (Mathematics) fast Operator theory fast Operator gnd http://d-nb.info/gnd/4130529-2 Ungleichung gnd http://d-nb.info/gnd/4139098-2 Opérateurs, Théorie des. ram Inégalités (mathématiques) ram |
| topic_facet | Operator theory. Inequalities (Mathematics) Théorie des opérateurs. Inégalités (Mathématiques) MATHEMATICS Functional Analysis. Mathématiques. Operator theory Operator Ungleichung Opérateurs, Théorie des. Inégalités (mathématiques) |
| url | https://www.sciencedirect.com/science/bookseries/00765392/147 https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297155 |
| work_keys_str_mv | AT schroderjohann operatorinequalities |