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Riesz Spaces II
1st Edition - May 1, 1983
Author: A.C. Zaanen
eBook ISBN:9780080960180
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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… Read more
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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.
11. Prime Ideal Extension. 12. Order Bounded Operators. 13. Kernel Operators. 14. Normed Riesz Spaces. 15. Order Continuous Norms. 16. Embedding in Biduals. 17. Abstract Lp Spaces. 18. Compact Operators. 19. Orlicz Spaces and Irreducible Operators. 20. Orthomorphisms and f-Algebras. Bibliography. Subject Index.