Riesz Spaces, Volume 2

Front Cover
Elsevier, 1983 - Electronic books - 720 pages
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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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Contents

CHAPTER 11 PRIME IDEAL EXTENSION
1
CHAPTER 12 ORDER BOUNDED OPERATORS
89
CHAPTER 13 KERNEL OPERATORS
209
CHAPTER 14 NORMED RIESZ SPACES
279
CHAPTER 15 ORDER CONTINUOUS NORMS
333
CHAPTER 16 EMBEDDING IN BIDUALS
381
CHAPTER 17 ABSTRACT Lp SPACES
455
CHAPTER 18 COMPACT OPERATORS
495
CHAPTER 19 ORLICZ SPACES AND IRREDUCIBLE OPERATORS
571
CHAPTER 20 ORTHOMORPHISMS AND fALGEBRAS
645
BIBLIOGRAPHY
703
SUBJECT INDEX
717
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