Hilbert field and hermitian Hilbert bundle

Hilbert field and hermitian Hilbert bundle

In the paper "Direct Images, Fields of Hilbert Spaces, and Geometric Quantization", Lempert and Szőke 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 wi...

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Veröffentlicht in:arXiv.org 2014-05
1. Verfasser: Tran, Dat V
Format: Artikel
Sprache:eng
Schlagworte:
Bundling
Hilbert space
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Zusammenfassung:In the paper "Direct Images, Fields of Hilbert Spaces, and Geometric Quantization", Lempert and Szőke 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.
ISSN:2331-8422