Injective isometries in Orlicz spaces

  • Beata Randrianantoanina, BEATA RANDRIANANTOANINA
  • Published 1998


Abstract. We show that injective isometries in Orlicz space LM have to preserve disjointness, provided that Orlicz function M satisfies ∆2-condition, has a continuous second derivative M , satisfies another “smoothness type” condition and either limt→0 M (t) = ∞ or M (0) = 0 and M (t) > 0 for all t > 0. The fact that surjective isometries of any… (More)

1 Figure or Table