Screen LibraryRiesz spaces II /
While Volume I (by W.A.J. Luxemburg and A.C. Zaanen, NHML Volume 1, 1971) is devoted to the algebraic aspects of the theory, this volume emphasizes the analytical theory of Riesz spaces and operators between these spaces. Though the numbering of chapters continues on from the first volume, this does...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
North-Holland,
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| Publisher Address: | Amsterdam ; Oxford : |
| Publication Dates: | 1983. |
| Literature type: | eBook |
| Language: | English |
| Series: |
North-Holland mathematical library ;
v. 30 |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/bookseries/09246509/30 |
| Summary: |
While Volume I (by W.A.J. Luxemburg and A.C. Zaanen, NHML Volume 1, 1971) is devoted to the algebraic aspects of the theory, this volume emphasizes the analytical theory of Riesz spaces and operators between these spaces. Though the numbering of chapters continues on from the first volume, this does not imply that everything covered in Volume I is required for this volume, however the two volumes are to some extent complementary. |
| Carrier Form: | 1 online resource (xi, 720 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 703-715) and index. |
| ISBN: |
9780444866264 0444866264 9780080960180 0080960189 1282619616 9781282619616 |
| Index Number: | QA322 |
| CLC: | O177.3 |
| Contents: | Front Cover; RIESZ SPACES II; Copyright Page; TABLE OF CONTENTS; PREFACE; CHAPTER 11. PRIME IDEAL EXTENSION; 76. Prime ideal separation; 77. The hull-kernel topology and the dual hull-kernel topology; 78. The unique prime ideal extension property; 79. Strongly order dense Riesz subspaces; 80. Extension theorems; 81. Prime ideal extension and the projection property; 82. Normal and extremally disconnected lattices; CHAPTER 12. ORDER BOUNDED OPERATORS; 83. Order bounded operators; 84. Order continuous operators; 85. The order dual of a Riesz space. |