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Hilbert field and hermitian Hilbert bundle

Published 7 May 2014 in math.DG | (1405.1482v1)

Abstract: In the paper "Direct Images, Fields of Hilbert Spaces, and Geometric Quantization", Lempert and Sz\H{o}ke proved that any flat analytic Hilbert field will induce a hermitian Hilbert bundle and gave an example of a flat Hilbert field that does not induce any Hilbert bundle. In this paper, we will provide an example of an analytic Hilbert field that does not induce any Hilbert bundle.

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Authors (1)

  1. Dat V. Tran 

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