Abstract
We prove that the Fredholm determinant is a real analytic function on the space of trace class operators defined on a separable Hilbert space H. This allows us to measure the size of sets of trace class and Schatten p-class operators which are not invertible and give an explicit description of their Aronszajn decomposition.
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Communicated by G. Teschl.
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Boyd, C., Snigireva, N. On the analyticity of the fredholm determinant. Monatsh Math 190, 675–687 (2019). https://doi.org/10.1007/s00605-019-01301-w
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DOI: https://doi.org/10.1007/s00605-019-01301-w