14 citations · 26 across the 17 of their papers we have counts for
18 papers
Optimal domain of Volterra operators in classes of Banach spaces of analytic functions
Angela A. Albanese, José Bonet, Werner J. Ricker
A thorough investigation is made of the optimal domain space of generalized Volterra operators, Cesàro operators and other operators when they act in various Banach spaces of analy…
Optimal domain of Volterra operators in Korenblum spaces
Angela A. Albanese, José Bonet, Werner J. Ricker
The aim of this article is to study the largest domain space , whenever it exists, of a given continuous linear operator , where i…
Generalized Cesàro operators in the disc algebra and in Hardy spaces
Angela A. Albanese, José Bonet, Werner J. Ricker
Generalized Cesàro operators , for , are investigated when they act on the disc algebra and on the Hardy spaces , for . W…
Mutual estimates of time-frequency representations and uncertainty principles
Angela A. Albanese, Claudio Mele, Alessandro Oliaro
In this paper we give different estimates between Lebesgue norms of quadratic time-frequency representations. We show that, in some cases, it is not possible to have such bounds in…
Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-norms
Angela A. Albanese, José Bonet, Werner J. Ricker
An investigation is made of the generalized Cesàro operators , for , when they act on the space of holomorphic functions on the open unit disc $\ma…
Mean ergodic and related properties of generalized Cesàro operators in BK-sequence spaces
Angela A. Albanese, José Bonet, Werner J. Ricker
Recent results concerning the linear dynamics and mean ergodicity of compact operators in Banach spaces, together with additional new results, are employed to investigate various s…
Spectral properties of generalized Cesàro operators in sequence spaces
Angela A. Albanese, José Bonet, Werner J. Ricker
The generalized Cesàro operators , for , were first investigated in the 1980's. They act continuously in many classical Banach sequence spaces contained in $\mathb…
Multiplication and convolution topological algebras in spaces of -ultradifferentiable functions of Beurling type
Angela A. Albanese, Claudio Mele
We determine multiplication and convolution topological algebras for classes of -ultradifferentiable functions of Beurling type. Hypocontinuity and discontinuity of the multipli…
Dynamics of composition operators on function spaces defined by local and global properties
Angela A. Albanese, Enrique Jordá, Claudio Mele
In this paper we consider composition operators on locally convex spaces of functions defined on . We prove results concerning supercyclicity, power boundedness, mean e…
Spectra and ergodic properties of multiplication and convolution operators on the space
Angela A. Albanese, Claudio Mele
In this paper we investigate the spectra and the ergodic properties of the multiplication operators and the convolution operators acting on the Schwartz space $\mathcal{S}(\mathbb{…
Convolutors on
Angela A. Albanese, Claudio Mele
In this paper we continue the study of the spaces and undertaken in [1]. We determine new representations of suc…
Multipliers on
Angela A. Albanese, Claudio Mele
The aim of this paper is to introduce and to study the space of the multipliers of the space of the -ultradiffere…
The Cesàro operator on duals of power series spaces of infinite type
Angela A. Albanese, José Bonet, Werner J. Ricker
A detailed investigation is made of the continuity, spectrum and mean ergodic properties of the Cesàro operator when acting on the strong duals of power series spaces of infini…
The Cesàro operator in weighted spaces
Angela A. Albanese, José Bonet, Werner J. Ricker
Unlike for , , the discrete Cesàro operator does not map into itself. We identify precisely those weights such that does map …
The Cesàro operator on power series spaces
Angela A. Albanese, José Bonet, Werner J. Ricker
The discrete Cesàro operator is investigated in the class of power series spaces of finite type. Of main interest is its spectrum, which is distinctly differe…
The Cesaro operator in growth Banach spaces of analytic functions
Angela A. Albanese, José Bonet, Werner J. Ricker
The Cesaro operator , when acting in the classical growth Banach spaces and , for , of analytic functions on , is investigated. Ba…
Mean ergodic properties of the continuous Cesàro operators
Angela A. Albanese, José Bonet, Werner J. Ricker
Various properties of the (continuous) Cesàro operator , acting on Banach and Fréchet spaces of continuous functions and -spaces, are investigated. For instance, t…
Mean Ergodic Theorems for Bi-continuous Semigroups
A. A. Albanese, L. Lorenzi, V. Manco
In this paper we study the main properties of the Cesàro means of bi-continuous semigroups, introduced and studied by Kühnemund in [24]. We also give some applications to Feller se…