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arXiv:2505.05526 [math.FA]AbstractReferencesReviewsResources

Functional Analysis and Operator Theory

Nicola Arcozzi

Published 2025-05-08Version 1

Lecture note topics: 1. Some tools from real and complex analysis, 2. Hilbert spaces, 3. Banach spaces, 4. Compact operators and their spectra, 5. Intermezzo: reproducing kernel Hilbert spaces, 6. Banach algebras ,7. Spectral theory of unitary, and of self-adjoint operators

Comments: These lecture notes merge the contents of two versions of a one-semester course in Functional Analysis and Operator Theory I taught in 2024, then in 2025, for the Master in Mathematics at the University of Bologna
Categories: math.FA
Subjects: 46-01, 47-01
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