Hilbert field and hermitian Hilbert bundle
Differential Geometry
2014-05-08 v1
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.
Cite
@article{arxiv.1405.1482,
title = {Hilbert field and hermitian Hilbert bundle},
author = {Dat V. Tran},
journal= {arXiv preprint arXiv:1405.1482},
year = {2014}
}