{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "00A0RPAQ8A"
    }
  ],
  "body": "\n## Summary\n\nA normed vector space is a real or complex vector space together with a norm.\n",
  "commit": "545acf83a9b75c8ddc375ef8b23d2ae101a4d7e4",
  "front": {
    "kind": "concept",
    "msc": [
      "46B20"
    ],
    "name": "Normed vector space",
    "same_as": {
      "wikidata": "Q726210",
      "wikipedia": "Normed vector space"
    },
    "sources": [
      {
        "locator": "Definition",
        "url": "https://en.wikipedia.org/wiki/Normed_vector_space"
      }
    ],
    "tag": "03J5RAKB30"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/03J5RAKB30/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/03J5RAKB30.md",
  "msc": [
    "46B20"
  ],
  "name": "Normed vector space",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/03J/03J5RAKB30.md",
  "status": null,
  "tag": "03J5RAKB30",
  "uri": "m2://03J5RAKB30",
  "url": "https://math2.tamnd.com/wiki/normed-vector-space/",
  "writing": {
    "tag": "03J5RAKB30",
    "kind": "concept",
    "level": "W1",
    "next": [
      {
        "what": "edge instance_of in",
        "note": "at least two examples",
        "have": 0,
        "want": 2
      },
      {
        "what": "edge not_instance_of in",
        "note": "at least one non-example",
        "have": 0,
        "want": 1
      },
      {
        "what": "edge specializes both",
        "note": "the more general notions and the special cases",
        "have": 0,
        "want": 1
      }
    ]
  }
}