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Summing operators on a normal cone of a Banach space. (OpĂ©rateurs sommants sur un cone normal d’un espace de Banach.) (French) Zbl 0814.47023

Summary: The aim of this paper is to develop a theory of \(p\)-summing operators (between Banach spaces) in the presence of an order structure given by a convex normal cone.

MSC:

47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
46B40 Ordered normed spaces
47B60 Linear operators on ordered spaces
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