{
  "id": "2505.05526",
  "version": "v1",
  "published": "2025-05-08T10:15:34.000Z",
  "updated": "2025-05-08T10:15:34.000Z",
  "title": "Functional Analysis and Operator Theory",
  "authors": [
    "Nicola Arcozzi"
  ],
  "comment": "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"
  ],
  "abstract": "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",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-05-08T10:15:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46-01",
      "47-01"
    ],
    "keywords": [
      "functional analysis",
      "operator theory",
      "reproducing kernel hilbert spaces",
      "lecture note topics",
      "spectral theory"
    ],
    "tags": [
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}