Approximation Properties Aps and P-nuclear Operators (the Case Where 0 < S ≤ 1)

  • O. I. Reinov
  • Published 2001


Among other things, it is shown that there exist Banach spaces Z and W such that Z and W have bases, and for every p ∈ [1, 2) there is an operator T : W → Z that is not p-nuclear but T ∗∗ is p-nuclear. We hold standard notation of the geometrical theory of operators in Banach spaces. The classical reference book on the theory of operator ideals is the A… (More)


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