Robert T. W. Martin

collaborators

3 papers

math.FA2022

On unitary equivalence to a self-adjoint or doubly-positive Hankel operator

Robert T. W. Martin

Let $A$ be a bounded, injective and self-adjoint linear operator on a complex separable Hilbert space. We prove that there is a pure isometry, $V$ , so that $A V > 0$ and $A$ is Hankel…

math.OA2018

Column extreme multipliers of the Free Hardy space

Michael T. Jury, Robert T. W. Martin

The full Fock space over $C^{d}$ can be identified with the free Hardy space, $H^{2} (B_{N}^{d})$ - the unique non-commutative reproducing kernel Hilbert space c…

math.FA2018

Factorization in weak products of complete Pick spaces

Michael T. Jury, Robert T. W. Martin

Let $H$ be a reproducing kernel Hilbert space with a normalized complete Nevanlinna-Pick (CNP) kernel. We prove that if $(f_{n})$ is a sequence of functions in $H$ …