3 citations · 4 across the 10 of their papers we have counts for
12 papers
Equivalence after extension for general Toeplitz operators
M. Cristina Câmara, Jonathan R. Partington
This paper reviews the subject of equivalence after extension in the context of Toeplitz operators, truncated Toeplitz operators, and further generalizations including dual and mul…
Frame constructions associated with operator orbits
Eva A. Gallardo-Gutiérrez, Jonathan R. Partington
This paper studies frames in Hilbert spaces generated by the orbits of (in)-finitely many vectors under a single operator, presenting new results on multiplication operators and op…
Hardy operators: In the footsteps of Brown, Halmos, and Shields
Eva A. Gallardo-Guttierrez, Jonathan R. Partington, William T. Ross
This paper discusses the two classical Hardy operators on and on initially studied by Brown, Halmos and Shield…
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…
Kernels of unbounded Toeplitz operators and factorization of symbols
M. Cristina Câmara, M. Teresa Malheiro, Jonathan R. Partington
We consider kernels of unbounded Toeplitz operators in in terms of a factorization of their symbols. We study the existence of a minimal Toeplitz kernel containi…
Toeplitz kernels and model spaces
M. Cristina Câmara, Jonathan R. Partington
We review some classical and more recent results concerning kernels of Toeplitz operators and their relations with model spaces, which are themselves Toeplitz kernels of a special…
Multipliers and equivalences between Toeplitz kernels
M. Cristina Camara, Jonathan R. Partington
Multipliers between kernels of Toeplitz operators are characterised in terms of test functions (so-called maximal vectors for the kernels); these maximal vectors may easily be para…
Model spaces and Toeplitz kernels in reflexive Hardy spaces
M. C. Câmara, M. T. Malheiro, J. R. Partington
This paper considers model spaces in an setting. The existence of unbounded functions and the characterisation of maximal functions in a model space are studied, and decompos…