It is commonly believed that chaos is linked to non-linearity, however many (even quite
natural) linear dynamical systems exhibit chaotic behavior. The study of these systems is a …

Bringing together research that was otherwise scattered throughout the literature, this book
collects the main results on the conditions for the existence of large algebraic substructures …

For the last decade there has been a generalized trend in mathematics on the search for
large algebraic structures (linear spaces, closed subspaces, or infinitely generated …

We give characterizations for finite collections of disjoint hypercyclic weighted shift
operators, both in the unilateral and bilateral cases. It follows that some well-known results …

The chemical mode of action as a flame retardant of calcium carbonate nanoparticles
combined with ammonium polyphosphate in polypropylene was investigated. Reduction in …

We prove the spaceability of the set of hypercyclic vectors for shift-like operators. Shift-like
operators appear naturally as composition operators on L p (X), when the underlying space …

We study the spaceability of the set of recurrent vectors for an operator on a Banach space.
In particular, we find sufficient conditions for a quasi-rigid operator to have a recurrent …

We study syndetic sensitivity and mean sensitivity for linear dynamical systems. For the
syndetic sensitivity aspect, we obtain some properties of syndetic sensitivity for adjoint …

We offer two conditions for a path of bounded linear operators on a Banach space to have a
dense Gδ set of common hypercyclic vectors. One of them is an equivalent condition and the …

In the present paper, we propose to study generalized weighted backward shifts BB over
non-Archimedean c 0 (N) spaces; here, B=(bij) is an upper triangular matrix with sup i, j …