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Riesz 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...
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Amsterdam ; Oxford :
North-Holland,
1983.
|
| Series: | North-Holland mathematical library ;
v. 30. |
| Subjects: | |
| Online Access: | Texto completo Texto completo Texto completo |
Table of 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.