The Rouché Theorem for Fredholm functions: an enhanced version
DOI10.1016/J.LAA.2023.10.018MaRDI QIDQ6565840
B. Silbermann, Harm Bart, Torsten Ehrhardt
Publication date: 2 July 2024
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
maximum principlespectral radiuslogarithmic residueRouché theoremanalytic operator functionFredholm operator valued function
Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Perturbation theory of linear operators (47A55) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) (Semi-) Fredholm operators; index theories (47A53) Other generalizations of analytic functions (including abstract-valued functions) (30G30)
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