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The topic of this paper is a generalization of Tannaka duality to coclosedcategories. As an application we prove reconstruction theorems for coalgebras(and bialgebras) in categories of topological vector spaces over anonarchimedean field K. In particular, our results imply reconstruction andrecognition theorems for categories of locally analytic representations ofcompact $p$-adic groups.

Tannaka duality, coclosed categories and reconstruction for nonarchimedean bialgebras