… Using the above lemma next we prove that a given weighted composition operator whose
composition map is an automorphism is similar to a weighted composition operator whose com…

… to completely characterize invertibility of composition operators and weighted composition
operators on … We also show that if a composition operator f ↦→ f ◦ ϕ or weighted composition …

… Invertible weighted composition operators on the weighted … of the invertible weighted
composition operators which we … an important result on the invertibility of an operator on a …

… operator is … invertible weighted hyperbolic composition operators and we prove the
universality of the translations by eigenvalues of such operators, acting on Hardy and weighted …

… of bounded invertible weighted composition operators on … Weighted composition operators
on various function spaces … of operator theory and function theory. For related topic of (…

… composition operators and prove that the strongly closed algebra generated by a single
invertible composition operator on … every hyperbolic composition operator on HZ is cosubnormal …

… We show that Fredholm weighted composition operators on Lp -spaces … the invertible ones.
We also characterize the classes of Fredholm and invertible weighted composition operators …

… weighted composition operators in terms of w, T, and dnT~l/dfi. Some known results on
seminormal composition operators and weighted composition operators … that T is invertible as a …

… In this paper, we consider the self-commutator of an invertible weighted composition operator
on the Hardy space where is continuous on . We show that both the self-commutator and …

… , weighted composition operators. There is a rather simple reason for that. Indeed, a weighted
composition operator T ψ,φ is invertible … of invertible weighted composition operators fall in …