22 citations · 33 across the 7 of their papers we have counts for
7 papers
Rational Cuntz states peak on the free disk algebra
Robert T. W. Martin, Eli Shamovich
We apply realization theory of non-commutative rational multipliers of the Fock space, or free Hardy space of square--summable power series in several non-commuting variables to th…
On unitary equivalence to a self-adjoint or doubly-positive Hankel operator
Robert T. W. Martin
Let be a bounded, injective and self-adjoint linear operator on a complex separable Hilbert space. We prove that there is a pure isometry, , so that and is Hankel…
Sub-Hardy Hilbert spaces in the non-commutative unit row-ball
Michael T. Jury, Robert T. W. Martin
In the classical Hardy space theory of square-summable Taylor series in the complex unit disk there is a circle of ideas connecting Szegö's theorem, factorization of positive semi-…
Column extreme multipliers of the Free Hardy space
Michael T. Jury, Robert T. W. Martin
The full Fock space over can be identified with the free Hardy space, - the unique non-commutative reproducing kernel Hilbert space c…
Factorization in weak products of complete Pick spaces
Michael T. Jury, Robert T. W. Martin
Let be a reproducing kernel Hilbert space with a normalized complete Nevanlinna-Pick (CNP) kernel. We prove that if is a sequence of functions in …
A Gleason solution model for row contractions
R. T. W. Martin, A. Ramanantoanina
In the deBranges-Rovnyak functional model for contractions on Hilbert space, any completely non-coisometric (CNC) contraction is represented as the adjoint of the restriction of th…
Extensions of symmetric operators I: The inner characteristic function case
R. T. W. Martin
Given a symmetric linear transformation on a Hilbert space, a natural problem to consider is the characterization of its set of symmetric extensions. This problem is equivalent to…