Open AccessLocalisation spectrale et sous-espaces hyperinvariants
Author(s) -
A. Daoui,
Omar El-Fallah
Publication year - 1999
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-99-04725-5
Subject(s) - linear subspace , mathematics , resolvent , resolution (logic) , spectrum (functional analysis) , pure mathematics , physics , computer science , artificial intelligence , quantum mechanics
To get hyperinvariant subspaces, we establish a relation between the growth of the resolvent and the geometry of the spectrum. Our approach is based on a resolution of the generalized Dirichlet problem.