The Uniqueness of the Solution to Inverse Interpolation Problems

  • O. E. Tikhonov
  • Published 1995
We prove that an arbitrary Banach couple is uniquely determined by the collection of intermediate spaces that are interpolation spaces for the operators of rank one. From this we deduce a confirmation to the conjecture by Yu. A. Brudny˘ ı and N. Ya. Kruglyak that a Banach couple is uniquely determined by the collection of all its interpolation spaces. Some… CONTINUE READING