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- W3198431567 abstract "In this paper we study the structure theory of normed modules, which have been introduced by Gigli. The aim is twofold: to extend von Neumann's theory of liftings to the framework of normed modules, thus providing a notion of precise representative of their elements; to prove that each separable normed module can be represented as the space of sections of a measurable Banach bundle. By combining our representation result with Gigli's differential structure, we eventually show that every metric measure space (whose Sobolev space is separable) is associated with a cotangent bundle in a canonical way." @default.
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- W3198431567 date "2021-09-08" @default.
- W3198431567 modified "2023-09-23" @default.
- W3198431567 title "Representation theorems for normed modules" @default.
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