9 citations · 16 across the 10 of their papers we have counts for
4 papers · 1 filter
Dual-band general Toeplitz operators
M. Cristina Câmara, Ryan O'Loughlin, Jonathan R. Partington
We relate dual-band general Toeplitz operators to block truncated Toeplitz operators and, via equivalence after extension, with Toeplitz operators with matrix symbols.…
Matrix-valued truncated Toeplitz operators: unbounded symbols, kernels and equivalence after extension
Ryan O'Loughlin
This paper studies matrix-valued truncated Toeplitz operators, which are a vectorial generalisation of truncated Toeplitz operators. It is demonstrated that, although there exist m…
Nearly invariant subspaces with applications to truncated Toeplitz operators
Ryan O'Loughlin
In this paper we first study the structure of the scalar and vector-valued nearly invariant subspaces with a finite defect. We then subsequently produce some fruitful applications…
Toeplitz kernels and the backward shift
Ryan O'Loughlin
In this paper we study the kernels of Toeplitz operators on both the scalar and the vector-valued Hardy space for . We show existence of a minimal kernel of any e…