RT Journal Article
T1 Spectral decompositions arising from Atzmon’s hyperinvariant subspace theorem
A1 Gallardo Gutiérrez, Eva Antonia
A1 Monsalve López, Miguel
AB By means of a weaker functional model, we prove the existence of non-trivial closed hyperinvariant subspaces for linear bounded operators generalizing, in particular, a classical theorem of Atzmon and revealing the spectral nature of the hyperinvariant subspaces involved. As an application, we show non-trivial spectral subspaces for Bishop operators on $L^p[0,1)$, $1 \leq p < \infty$, as long as they satisfy Atzmon’s Theorem, providing, in turns, a local spectral decomposition.
PB Springer
YR 2021
FD 2021
LK https://hdl.handle.net/20.500.14352/129027
UL https://hdl.handle.net/20.500.14352/129027
LA eng
NO Gallardo-Gutiérrez, E.A., Monsalve-López, M. Spectral Decompositions Arising from Atzmon’s Hyperinvariant Subspace Theorem. Integr. Equ. Oper. Theory 93, 6 (2021)
NO Ministerio de Ciencia, Innovación y Universidades
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 21 mar 2026