Abstract
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.
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© 1991 Springer-Verlag Berlin Heidelberg
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Meyer-Nieberg, P. (1991). Classical Banach Lattices. In: Banach Lattices. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76724-1_2
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DOI: https://doi.org/10.1007/978-3-642-76724-1_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54201-8
Online ISBN: 978-3-642-76724-1
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