Riesz spaces II [electronic resource] / A.C. Zaanen.
Material type:
TextSeries: North-Holland mathematical library ; v. 30.Publication details: Amsterdam ; Oxford : North-Holland, 1983. Description: 1 online resource (xi, 720 p.) : illContent type: text Media type: computer Carrier type: online resourceISBN: 9780444866264; 0444866264; 9780080960180 (electronic bk.); 0080960189 (electronic bk.); 1282619616; 9781282619616Subject(s): Riesz spaces | Riesz spaces | MATHEMATICS -- TransformationsGenre/Form: Electronic books.Additional physical formats: Print version:: Riesz spaces II.DDC classification: 515.7/3 LOC classification: QA322 | .Z11 1983ebOnline resources: ScienceDirect | Volltext 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.
Includes bibliographical references (p. 703-715) and index.
Description based on print version record.
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.
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