{
  "id": "1609.08658",
  "version": "v1",
  "published": "2016-09-27T20:38:19.000Z",
  "updated": "2016-09-27T20:38:19.000Z",
  "title": "J-Frame Sequences in Krein Space",
  "authors": [
    "Shibashis Karmakar",
    "SK. Monowar Hossein",
    "Kallol Paul"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $\\{f_n:n\\in\\mathbb{N}\\}$ be a $J$-frame for a Krein space ${\\textbf{\\textit{K}}}$ and $P_M$ be a $J$-orthogonal projection from ${\\textbf{\\textit{K}}}$ onto a subspace $M$. In this article we find sufficient conditions under which $\\{P_M(f_n):n\\in\\mathbb{N}\\}$ is a $J$-frame for $P_M\\textbf{\\textit{K}}$ and $\\{(I-P_M)f_n\\}_{n\\in{\\mathbb{N}}}$ is a $J$-frame for $(I-P_M)\\textbf{\\textit{K}}$. We also introduce $J$-frame sequence for a Krein space ${\\textbf{\\textit{K}}}$ and study some properties of $J$-frame sequence analogues to Hilbert space frame theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-27T20:38:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15",
      "46C05",
      "46C20"
    ],
    "keywords": [
      "krein space",
      "j-frame sequences",
      "hilbert space frame theory",
      "frame sequence analogues",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}