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Published in:
1991 | OriginalPaper | Chapter
Classical Banach Lattices
Author : Peter Meyer-Nieberg
Published in: Banach Lattices
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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This section is concerned with C(K)-spaces and M-spaces. In particular, will we deduce those properties of C(K)-spaces which are closely related to the theory of Riesz spaces. An important result presented here is Kakutani’s representation theorem for an M-spaces with a unit. It plays still an important role in the theory of Riesz spaces, although many proofs which were originally based on this representation theorem now can be replaced by shorter and simpler lattice theoretical arguments.