Operators in rigged hilbert spaces, gel`fand bases and generalized eigenvalues

HIGHLIGHTS

  • who: Jean-Pierre Antoine and Camillo Trapani from the Institut de Recherche en Mathu00e9matique et Physique, Universitu00e9 Catholique de, Italy have published the research: Operators in Rigged Hilbert Spaces, Gel`fand Bases and Generalized Eigenvalues, in the Journal: Mathematics 2023, 11, 195. of /2023/
  • what: Using the formalism of Gel`fand distribution bases the authors explore the conditions for the eigenspaces to be one-dimensional i.e. for A to have a simple spectrum. The authors determine the relationship between the spectral family of A and the sesquilinear forms defined by the u03b6 u03bb `s . . .

     

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