Vector Lattices and Integral Operators:
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1996
|
| Schriftenreihe: | Mathematics and Its Applications
358 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The theory of vector lattices, stemming from the mid-thirties, is now at the stage where its main achievements are being summarized. The sweeping changes of the last two decades have changed its image completely. The range of its application was expanded and enriched so as to embrace diverse branches of the theory of functions, geometry of Banach spaces, operator theory, convex analysis, etc. Furthermore, the theory of vector lattices was impregnated with principally new tools and techniques from other sections of mathematics. These circumstances gave rise to a series of monographs treating separate aspects of the theory and oriented to specialists. At the same time, the necessity of a book intended for a wider readership, reflecting the modern diretions of research became clear. The present book is meant to be an attempt at implementing this task. Although oriented to readers making their first acquaintance with vector-lattice theory, it is composed so that the main topics dealt with in the book reach the current level of research in the field, which is of interest and import for specialists. The monograph was conceived so as to be divisible into two parts that can be read independently of one another. The first part is mainly Chapter 1, devoted to the so-called Boolean-valued analysis of vector lattices. The term designates the application of the theory of Boolean-valued models by D. Scott, R. Solovay and P. |
| Beschreibung: | 1 Online-Ressource (IX, 462 p) |
| ISBN: | 9789400901957 9789401065719 |
| DOI: | 10.1007/978-94-009-0195-7 |
Internformat
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| 500 | |a The theory of vector lattices, stemming from the mid-thirties, is now at the stage where its main achievements are being summarized. The sweeping changes of the last two decades have changed its image completely. The range of its application was expanded and enriched so as to embrace diverse branches of the theory of functions, geometry of Banach spaces, operator theory, convex analysis, etc. Furthermore, the theory of vector lattices was impregnated with principally new tools and techniques from other sections of mathematics. These circumstances gave rise to a series of monographs treating separate aspects of the theory and oriented to specialists. At the same time, the necessity of a book intended for a wider readership, reflecting the modern diretions of research became clear. The present book is meant to be an attempt at implementing this task. Although oriented to readers making their first acquaintance with vector-lattice theory, it is composed so that the main topics dealt with in the book reach the current level of research in the field, which is of interest and import for specialists. The monograph was conceived so as to be divisible into two parts that can be read independently of one another. The first part is mainly Chapter 1, devoted to the so-called Boolean-valued analysis of vector lattices. The term designates the application of the theory of Boolean-valued models by D. Scott, R. Solovay and P. | ||
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-009-0195-7 |
| format | Electronic eBook |
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| id | DE-604.BV042423630 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9789400901957 9789401065719 |
| language | English |
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| series | Mathematics and Its Applications |
| series2 | Mathematics and Its Applications |
| spelling | Vector Lattices and Integral Operators edited by S. S. Kutateladze Dordrecht Springer Netherlands 1996 1 Online-Ressource (IX, 462 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 358 The theory of vector lattices, stemming from the mid-thirties, is now at the stage where its main achievements are being summarized. The sweeping changes of the last two decades have changed its image completely. The range of its application was expanded and enriched so as to embrace diverse branches of the theory of functions, geometry of Banach spaces, operator theory, convex analysis, etc. Furthermore, the theory of vector lattices was impregnated with principally new tools and techniques from other sections of mathematics. These circumstances gave rise to a series of monographs treating separate aspects of the theory and oriented to specialists. At the same time, the necessity of a book intended for a wider readership, reflecting the modern diretions of research became clear. The present book is meant to be an attempt at implementing this task. Although oriented to readers making their first acquaintance with vector-lattice theory, it is composed so that the main topics dealt with in the book reach the current level of research in the field, which is of interest and import for specialists. The monograph was conceived so as to be divisible into two parts that can be read independently of one another. The first part is mainly Chapter 1, devoted to the so-called Boolean-valued analysis of vector lattices. The term designates the application of the theory of Boolean-valued models by D. Scott, R. Solovay and P. Mathematics Functional analysis Operator theory Functional Analysis Operator Theory Mathematik Vektorverband (DE-588)4187471-7 gnd rswk-swf Vektorverband (DE-588)4187471-7 s 1\p DE-604 Kutateladze, S. S. edt Mathematics and Its Applications 358 (DE-604)BV008163334 358 https://doi.org/10.1007/978-94-009-0195-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Vector Lattices and Integral Operators Mathematics and Its Applications Mathematics Functional analysis Operator theory Functional Analysis Operator Theory Mathematik Vektorverband (DE-588)4187471-7 gnd |
| subject_GND | (DE-588)4187471-7 |
| title | Vector Lattices and Integral Operators |
| title_auth | Vector Lattices and Integral Operators |
| title_exact_search | Vector Lattices and Integral Operators |
| title_full | Vector Lattices and Integral Operators edited by S. S. Kutateladze |
| title_fullStr | Vector Lattices and Integral Operators edited by S. S. Kutateladze |
| title_full_unstemmed | Vector Lattices and Integral Operators edited by S. S. Kutateladze |
| title_short | Vector Lattices and Integral Operators |
| title_sort | vector lattices and integral operators |
| topic | Mathematics Functional analysis Operator theory Functional Analysis Operator Theory Mathematik Vektorverband (DE-588)4187471-7 gnd |
| topic_facet | Mathematics Functional analysis Operator theory Functional Analysis Operator Theory Mathematik Vektorverband |
| url | https://doi.org/10.1007/978-94-009-0195-7 |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT kutateladzess vectorlatticesandintegraloperators |