{
  "id": "1802.02012",
  "version": "v1",
  "published": "2018-02-06T15:49:50.000Z",
  "updated": "2018-02-06T15:49:50.000Z",
  "title": "Strong pseudo-amenability of some Banach algebras",
  "authors": [
    "Amir Sahami"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we introduce a new notion of strong pseudo-amenability for Banach algebras. We study strong pseudo-amenability of some Matrix algebras. Using this tool, we characterize strong pseudo-amenability of $\\ell^{1}(S)$, provided that $S$ is a uniformly locally finite semigroup. As an application we show that for a Brandt semigroup $S=M^{0}(G,I)$, $\\ell^{1}(S)$ is strong pseudo-amenable if and only if $G$ is amenable and $I$ is finite. We give some examples to show the differences of strong pseudo-amenability and other classical notions of amenability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-06T15:49:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46H05",
      "43A20",
      "20M18"
    ],
    "keywords": [
      "banach algebras",
      "study strong pseudo-amenability",
      "characterize strong pseudo-amenability",
      "matrix algebras",
      "brandt semigroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}