Notes on infinite determinants of Hilbert space operators (1977)
by
Barry Simon
| Venue: | Adv. Math |
| Citations: | 25 - 2 self |
BibTeX
@ARTICLE{Simon77noteson,
author = {Barry Simon},
title = {Notes on infinite determinants of Hilbert space operators},
journal = {Adv. Math},
year = {1977},
pages = {244--273}
}
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Abstract
We present a novel approach to obtaining the basic facts (including Lidskii's theorem on the equality of the matrix and spectral traces) about determinants and traces of trace class operators on a separable Hilbert space. We also discuss Fredholm theory, "regularized " determinants and Fredholm theory on the trace ideals, c#~(p < oo). 1.
