{
  "id": "1612.05049",
  "version": "v1",
  "published": "2016-12-15T12:59:33.000Z",
  "updated": "2016-12-15T12:59:33.000Z",
  "title": "Complemented basic sequences in Frechet spaces with finite dimensional decomposition",
  "authors": [
    "Hasan Gül",
    "Süleyman Onal"
  ],
  "comment": "12 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $E$ be a Frechet-Montel space and $(E_n)_{n \\in \\mathbb{N}}$ be a finite dimensional unconditional decomposition of $E$ with $\\dim(E_n)\\leq k$ for some fixed $k \\in \\mathbb{N}$ and for all $n \\in \\mathbb{N}$. Consider a sequence $(x_n)_{n \\in \\mathbb{N}}$ formed by taking an element $x_n$ from each $E_n$ for all $n \\in \\mathbb{N}$. Then $(x_n)_{n \\in \\mathbb{N}}$ has a subsequence which is complemented in $E$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-15T12:59:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46A04"
    ],
    "keywords": [
      "finite dimensional decomposition",
      "complemented basic sequences",
      "frechet spaces",
      "finite dimensional unconditional decomposition",
      "frechet-montel space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}