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  • 标题:Integral operators on the section space of a Banach bundle
  • 本地全文:下载
  • 作者:J. W. kitchen ; D. A. Robbins
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:1993
  • 卷号:16
  • DOI:10.1155/S0161171293000560
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Let π:E→X and ρ:F→X be bundles of Banach spaces, where X is a compact Hausdorff space, and let V be a Banach space. Let Γ(π) denote the space of sections of the bundle π. We obtain two representations of integral operators T:Γ(π)→V in terms of measures. The first generalizes a recent result of P. Saab, the second generalizes a theorem of Grothendieck. We also study integral operators T:Γ(π)→Γ(ρ) which are C(X)-linear.
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