Riesz spaces II

by Zaanen, Adriaan C., (Adriaan Cornelis)

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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.

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Title Statements

Full title :Riesz spaces II / A.C. Zaanen.

Summary

Edition Statements

Publication Date:1983.

Publication Statements

Publisher(s):North-Holland
Place of Publication:Amsterdam
Language:eng
Publication Date:1983.

The Physical Object

Description:1 online resource (xi, 720 pages) : : illustrations

Edition Identifiers

ISBN:9780444866264, 0444866264, 9780080960180, 0080960189, 1282619616, 9781282619616
oclc:ocn316568515
LC Classification:QA322
Dewey Decimal:515.7/3

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.