1 Ocak 2020 Dergi makalesi Açık Erişim

Mustafayev, Heybetkulu

Citation Style Language JSON

{
  "DOI": "10.7146/math.scand.a-119601", 
  "abstract": "Let G be a locally compact abelian group and let M(G) be the measure algebra of G. A measure mu is an element of M(G) is said to be power bounded if sup(n >= 0) parallel to mu(n)parallel to(1) < infinity. Let T = {T-g : g is an element of G} be a bounded and continuous representation of G on a Banach space X. For any mu is an element of M(G), there is a bounded linear operator on X associated with mu, denoted by T-mu, which integrates T-g with respect to mu. In this paper, we study norm and almost everywhere behavior of the sequences {T-mu(n) x} (x is an element of X) in the case when mu, is power bounded. Some related problems are also discussed.", 
  "author": [
    {
      "family": "Mustafayev", 
      "given": " Heybetkulu"
    }
  ], 
  "container_title": "MATHEMATICA SCANDINAVICA", 
  "id": "5857", 
  "issue": "2", 
  "issued": {
    "date-parts": [
      [
        2020, 
        1, 
        1
      ]
    ]
  }, 
  "page": "339-366", 
  "title": "ON THE CONVERGENCE OF ITERATES OF CONVOLUTION OPERATORS IN BANACH SPACES", 
  "type": "article-journal", 
  "volume": "126"
}