Abstract
Here we collect a variety of technical auxiliary considerations and results used in, or related to the content of the main chapters of the book.
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Notes
- 1.
- 2.
- 3.
Stronger results about properties of spectra of analytic Fredholm operator functions are available in [76].
- 4.
Here we use the definition of the essential spectrum of an operator T as the set of all \(\lambda \in \mathbb {C}\) such that T − λ is not Fredholm.
- 5.
- 6.
I.e., for some ε > 0, the support of the Schwartz kernel of B is contained in an ε-neighborhood of the diagonal of X × X.
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Kha, M., Kuchment, P. (2021). Auxiliary Statements and Proofs of Technical Lemmas. In: Liouville-Riemann-Roch Theorems on Abelian Coverings. Lecture Notes in Mathematics, vol 2245. Springer, Cham. https://doi.org/10.1007/978-3-030-67428-1_5
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