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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…