Analysis is the study of limiting processes. Not every limiting process, of course, converges,
but examples have been found where processes diverge in a maximal way. Such an …

The theory of linear Volterra Integro-differental equations has been developing rapidly in the
last three decades. This book provides an easy-to-read, concise introduction to the theory of …

This is an exposition on supercyclicity and weak supercyclicity, especially designed to
advance further developments in weakly supercyclicity, which is a recent research field …

We prove that any bounded linear operator on L p [0, 1] for 1≤ p<∞, commuting with the
Volterra operator V, is not weakly supercyclic, which answers affirmatively a question raised …

In this paper we study to what extent properties of the classical linear Volterra operators can
be transferred to the nonlinear Volterra-Choquet operators, obtained by replacing the …

A bounded linear operator T defined on a Banach Space X is said to be supercyclic if there
exists a vector x∈ X such that the projective orbit {λTnx: λ∈ C, n∈ N} is dense in X. The aim …

The Positive Supercyclicity Theorem Page 1 \noindent $ x45 $ \quad extracta mathematicae
Vol . 1 9 , N $ \acute{u} $ m . 1 , 145 −− 149 ( 2 4 ) \centerline{V Curso Espacios de Banach y …

Truncated Toeplitz operators are restrictions of usual Toeplitz operators onto model
subspaces 𝐾𝜃= 𝐻2⊖ 𝜃𝐻2 of the Hardy space 𝐻2, where 𝜃 is an inner function. In this note …

A Banach space operator TT is said to be weakly super convex-cyclic if there exists x ∈ X
x∈ X such that {λ p (T) x: p\, convex\, polynomial, λ ∈ C\} λ p (T) x: p convex polynomial, λ∈ …

In this dissertation, we will be investigating problemsin operator theory which also have
connections to the geometry of Banach spaces. We will study the concept of porosity within …