Operators on Partial Inner Product Spaces:Towards a Spectral Analysis

Camillo Trapani, Jean-Pierre Antoine

Risultato della ricerca: Articlepeer review

6 Citazioni (Scopus)

Abstract

Given a Lattice of Hilbert spaces VJ and a symmetric operatorA in VJ , in the sense of partial inner product spaces, we define ageneralized resolvent for A and study the corresponding spectral properties.In particular, we examine, with help of the KLMN theorem, thequestion of generalized eigenvalues associated to points of the continuous(Hilbertian) spectrum. We give some examples, including so-calledframe multipliers.
Lingua originaleEnglish
pagine (da-a)323-351
Numero di pagine29
RivistaMediterranean Journal of Mathematics
Volume13
Stato di pubblicazionePublished - 2016

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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