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1991 | OriginalPaper | Buchkapitel

Classical Banach Lattices

verfasst von : Peter Meyer-Nieberg

Erschienen in: Banach Lattices

Verlag: Springer Berlin Heidelberg

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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.

Metadaten
Titel
Classical Banach Lattices
verfasst von
Peter Meyer-Nieberg
Copyright-Jahr
1991
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-76724-1_2