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2 results

  • Almost Disjointness Preservers

  • Timur Oikhberg, Pedro Tradacete
  • Journal:
    Canadian Journal of Mathematics / Volume 69 / Issue 3 / 01 June 2017
    Published online by Cambridge University Press:
    20 November 2018, pp. 650-686
    Print publication:
    01 June 2017
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  • We study the stability of disjointness preservers on Banach lattices. In many cases, we prove that an “almost disjointness preserving” operator is well approximable by a disjointness preserving one. However, this approximation is not always possible, as our examples show.

  • Separating Maps between Spaces of Vector-Valued Absolutely Continuous Functions

  • Luis Dubarbie
  • Journal:
    Canadian Mathematical Bulletin / Volume 53 / Issue 3 / 01 September 2010
    Published online by Cambridge University Press:
    20 November 2018, pp. 466-474
    Print publication:
    01 September 2010
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  • In this paper we give a description of separating or disjointness preserving linear bijections on spaces of vector-valued absolutely continuous functions defined on compact subsets of the real line. We obtain that they are continuous and biseparating in the finite-dimensional case. The infinite-dimensional case is also studied.