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Keywords:

  • Banach spaces;
  • isomorphic spaces;
  • complemented subspace;
  • MSC (2010) 46B03;
  • 46B45

Abstract

We extend a result of Pełczyński showing that {ℓp(ℓq): 1 ≤ p, q ≤ ∞} is a family of mutually non isomorphic Banach spaces. Some results on complemented subspaces of ℓp(ℓq) are also given.