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Structure des cônes normaux contenus dans un espace de Banach ou dans son dual. (Structure of normal cones contained in a Banach space or in its dual). (French. Abridged English version) Zbl 0765.46009

Extending the Maurey theory of factorization of bounded linear operators from a Banach space into an \(L^ p\) space, the author investigates the structure of normal or weakly complete cones contained in a Banach space or in its dual. From this point of view, the present paper offers an exhaustive analysis.

MSC:

46B40 Ordered normed spaces
46B20 Geometry and structure of normed linear spaces
47A68 Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators
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