Riesz spaces II
Zaanen, Adriaan C. 1913-
Riesz spaces II [electronic resource] / A.C. Zaanen. - Amsterdam ; Oxford : North-Holland, 1983. - 1 online resource (xi, 720 p.) : ill. - North-Holland mathematical library ; v. 30 . - North-Holland mathematical library ; v. 30. .
Includes bibliographical references (p. 703-715) and index.
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.
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.
9780444866264 0444866264 9780080960180 (electronic bk.) 0080960189 (electronic bk.) 1282619616 9781282619616
125083:123169 Elsevier Science & Technology http://www.sciencedirect.com
Riesz spaces.
Riesz spaces.
MATHEMATICS--Transformations.
Electronic books.
QA322 / .Z11 1983eb
515.7/3
Riesz spaces II [electronic resource] / A.C. Zaanen. - Amsterdam ; Oxford : North-Holland, 1983. - 1 online resource (xi, 720 p.) : ill. - North-Holland mathematical library ; v. 30 . - North-Holland mathematical library ; v. 30. .
Includes bibliographical references (p. 703-715) and index.
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.
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.
9780444866264 0444866264 9780080960180 (electronic bk.) 0080960189 (electronic bk.) 1282619616 9781282619616
125083:123169 Elsevier Science & Technology http://www.sciencedirect.com
Riesz spaces.
Riesz spaces.
MATHEMATICS--Transformations.
Electronic books.
QA322 / .Z11 1983eb
515.7/3
