2 papers
math.FA2023
On the invariant subspace problem via universal Toeplitz operators on the Hardy space
João Marcos R. do Carmo, Marcos S. Ferreira
The Invariant Subspace Problem (ISP) for Hilbert spaces asks if every bounded linear operator has a non-trivial closed invariant subspace. Due to the existence of universal operato…
math.FA2022
A characterization for complex symmetric Toeplitz operators
Marcos S. Ferreira
In this paper we use orthonormal basis for the Hardy space , formed by rational functions, to characterize complex symmetric Toeplitz operators on $H^{2}(\mathbb…