{
  "id": "2112.11166",
  "version": "v2",
  "published": "2021-12-21T13:02:04.000Z",
  "updated": "2022-01-26T09:24:40.000Z",
  "title": "Functional Analysis",
  "authors": [
    "Jan van Neerven"
  ],
  "comment": "Approx. 715 pages. To appear in the book series Cambridge Studies in Advanced Mathematics of Cambridge University Press. Compared to v1, some material has been added, many small improvements to the presentation and a few corrections have been made, and some typos have been eliminated",
  "categories": [
    "math.FA",
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "This book is based on notes compiled over the many years I have been teaching the course \"Applied Functional Analysis\" in the first year of the Master programme at Delft University of Technology, for students with previous exposure to the essentials of Real Analysis and the theory of Lebesgue integration. It offers a comprehensive introduction to functional analysis, covering both the abstract theory and applications to spectral theory, boundary value problems, semigroup theory, and quantum mechanics. It starts with the basic results of the subject and progresses towards a treatment of several advanced topics not commonly found in functional analysis textbooks, including Fredholm theory, form methods, boundary value problems, semigroup theory, trace formulas and a mathematical treatment of states and observables in quantum mechanics.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-01-26T09:24:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundary value problems",
      "quantum mechanics",
      "semigroup theory",
      "functional analysis textbooks",
      "master programme"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 715,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}