RT Journal Article
T1 Rota's universal operators and invariant subspaces in Hilbert spaces
A1 Cowen, Carl C.
A1 Gallardo Gutiérrez, Eva Antonia
AB A Hilbert space operator is called universal (in the sense of Rota) if every operator on the Hilbert space is similar to a multiple of the restriction of the universal operator to one of its invariant subspaces. We exhibit an analytic Toeplitz operator whose adjoint is universal in the sense of Rota and commutes with a quasi-nilpotent injective compact operator with dense range. In particular, this new universal operator invites an approach to the Invariant Subspace Problem that uses properties of operators that commute with the universal operator.
PB Academic Press Inc
SN 0022-1236
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/24690
UL https://hdl.handle.net/20.500.14352/24690
LA eng
NO Ministerio de Economía, Comercio y Empresa (España)
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 19 dic 2025