1 citations · 1 across the 10 of their papers we have counts for
11 papers
On the real and imaginary parts of powers of the Volterra operator
Thomas Ransford, Dashdondog Tsedenbayar
We study the real and imaginary parts of the powers of the Volterra operator on , specifically their eigenvalues, their norms and their numerical ranges.
On the Divergence of Taylor Series in de Branges-Rovnyak Spaces
Pierre-Olivier Parisé, Thomas Ransford
It is known that there exist functions in certain de Branges--Rovnyak spaces whose Taylor series diverge in norm, even though polynomials are dense in the space. This is often prov…
Asymptotically equicontinuous sequences of operators and a Banach-Steinhaus type theorem
Javad Mashreghi, Thomas Ransford
We introduce the notion of an asymptotically equicontinuous sequence of linear operators, and use it to prove the following result. If are topological vector spaces, if $T_n,…
Summability and duality
Soumitra Ghara, Javad Mashreghi, Thomas Ransford
We formalize the observation that the same summability methods converge in a Banach space and its dual . At the same time we determine conditions under which these methods…
Holomorphic motions, dimension, area and quasiconformal mappings
Aidan Fuhrer, Thomas Ransford, Malik Younsi
We describe the variation of the Minkowski, packing and Hausdorff dimensions of a set moving under a holomorphic motion, as well as the variation of its area. Our method provides a…
Norms of polynomials of the Volterra operator
Thomas Ransford, Nathan Walsh
We compute the operator norm of real-quadratic polynomials of the Volterra operator. This is used to test whether the Crouzeix conjecture holds for the Volterra operator.