[EN] We prove that under some mild conditions on the symbol phi, the spectrum of the corresponding composition operator C-phi on the Korenblum type spaces A_(-alpha) and A(+)(-alpha) contains a closed ball of positive radius.
For two complex Banach spaces X and Y, in this paper, we study the generalized spectrum M-b(X,Y) of all nonzero algebra homomorphisms from H-b(X), the algebra of all bounded type entire functions on X into H-b(Y). We endow ...
Carando, Daniel G.; García Rodríguez, Domingo; Maestre Vera, Manuel; Sevilla Peris, Pablo(American Mathematical Society, 2012)
In this paper we survey the most relevant recent developments
on the research of the spectra of algebras of analytic functions. We concentrate
mainly in three algebras, the Banach algebra H∞(B) of all bounded
holomorphic ...
Bonet Solves, José Antonio(Springer-Verlag, 2019-10)
[EN] The continuity, compactness and the spectrum of the Volterra integral operator V-g with symbol an analytic function g, when acting on the classical Korenblum space and other related weighted Frechet or (LB) spaces of ...
[EN] We investigate the continuity, compactness and invertibility of weighted composition operators W-psi,W-phi: f -> psi(f circle phi) when they act on the classical Korenblum space A(-infinity) and other related Frechet ...