{
  "id": "1701.08014",
  "version": "v1",
  "published": "2017-01-27T11:21:59.000Z",
  "updated": "2017-01-27T11:21:59.000Z",
  "title": "Norm retrieval and phase retrieval by projections",
  "authors": [
    "Peter G. Casazza",
    "Dorsa Ghoreishi",
    "Shani Jose",
    "Janet C. Tremain"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We make a detailed study of norm retrieval. We give several classification theorems for norm retrieval and give a large number of examples to go with the theory. One consequence is a new result about Parseval frames: If a Parseval frame is divided into two subsets with spans $W_1,W_2$ and $W_1 \\cap W_2=\\{0\\}$, then $W_1 \\perp W_2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-27T11:21:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15"
    ],
    "keywords": [
      "norm retrieval",
      "phase retrieval",
      "projections",
      "parseval frame",
      "large number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}