Spectrum of positive type of operator functions

Matteius Langer (Stathclyde)

Tuesday 20th January, 2009 16:00-17:00 214


In many physical eigenvalue problems the eigenvalue parameter appears nonlinearly. Such problems can be studied using matrix or operator functions. In this talk operator functions in a Hilbert space are discussed which satisfy some definiteness properties on some interval. In such a situation analogues of classical concepts like spectral functions and variational principles can be established.

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