3 citations · 4 across the 10 of their papers we have counts for
5 papers · 1 filter
Paired kernels and truncated Toeplitz operators
M. Cristina Câmara, Jonathan R. Partington
This paper considers paired operators in the context of the Lebesgue Hilbert space on the unit circle and its subspace, the Hardy space . The kernels of such operators,…
Rhaly operators: more on generalized Cesàro operators
Eva A. Gallardo-Gutiérrez, Jonathan R. Partington
Rhaly operators, as generalizations of the Cesàro operator, are studied from the standpoint of view of spectral theory and invariant subspaces, extending previous results by Rhaly…
Kernels of paired operators and their adjoints
M. Cristina Câmara, Jonathan R. Partington
We review the basic properties of paired operators and their adjoints, the transposed paired operators, with particular reference to commutation relations, and we study the propert…
Invariance and near invariance for non-cyclic shift semigroups
Yuxia Liang, Jonathan R. Partington
We characterise the subspaces of that are invariant under the semigroups generated by two higher-order shifts and . Complete descriptions are obtaine…
Composition operators between Toeplitz kernels
Yuxia Liang, Jonathan R. Partington
Recently, it was shown that the image of a Toeplitz kernel of dimension greater than under composition by an inner function is nearly -invariant if and only if the inner f…