5 papers
Interplay between complex symmetry and Koenigs eigenfunctions
S. Waleed Noor, Osmar R. Severiano
We investigate the relationship between the complex symmetry of composition operators induced on the classical Hardy space by an analytic self-map…
Universal Toeplitz operators on the Hardy space over the polydisk
Marcos Ferreira, S. Waleed Noor
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…
Universal composition operators
João R. Carmo, S. Waleed Noor
A Hilbert space operator is called universal (in the sense of Rota) if every Hilbert space operator is similar to a multiple of restricted to one of its invariant subspaces…
Complex symmetry and cyclicity of composition operators on
S. Waleed Noor, Osmar R. Severiano
In this article, we completely characterize the complex symmetry, cyclicity and hypercyclicity of composition operators induced by affine self-maps of the right…
Complex symmetry of Composition operators induced by involutive Ball automorphisms
S. Waleed Noor
Suppose is a weighted Hardy space of analytic functions on the unit ball such that the composition operator defined by $C_ψf=f…