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arXiv · 1405.1482

Hilbert field and hermitian Hilbert bundle

Dat V. Tran
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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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Dat V. Tran. 2014-05-07. Hilbert field and hermitian Hilbert bundle. https://arxiv.org/abs/1405.1482

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