JournalszaaVol. 26 , No. 4DOI 10.4171/zaa/1332

Interpolation and Transmutation

  • Amin Boumenir

    University of West Georgia, Carrollton, United States
Interpolation and Transmutation cover

Abstract

We show that the existence of a transmutation between two self-adjoint operators L1L_{1} and L2L_{2} is equivalent to the existence of an interpolation operator in the spectral variable. This equivalence helps construct a transmutation operator between abstract self-adjoint operators.