104 citations · 141 across the 40 of their papers we have counts for
48 papers
Cyclic nearly invariant subspaces for semigroups of isometries
Yuxia Liang, Jonathan R. Partington
In this paper, the structure of the nearly invariant subspaces for discrete semigroups generated by several (even infinitely many) automorphisms of the unit disc is described. As p…
Paired kernels and their applications
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, togeth…
Invariant subspaces of the Cesaro operator
Eva A. Gallardo-Gutierrez, Jonathan R. Partington, William T. Ross
This paper explores various classes of invariant subspaces of the classical Cesàro operator on the Hardy space . We provide a new characterization of the finite co-dimensi…
Paired operators and paired kernels
M. Cristina Câmara, André Guimarães, Jonathan R. Partington
This paper is concerned with paired operators in the context of the Lebesgue Hilbert space on the unit circle and its subspace, the Hardy space. By considering when such operators…
Boundedness and compactness of weighted composition operators and monomial operators
I. Chalendar, J. R. Partington
This paper characterises the boundedness and compactness of Agler--McCarthy monomial operators by reducing them to weighted composition operators and deriving explicit Carleson mea…
Admissibility of retarded diagonal systems with one-dimensional input space
Rafal Kapica, Jonathan R. Partington, Radoslaw Zawiski
We investigate infinite-time admissibility of a control operator in a Hilbert space state-delayed dynamical system setting of the form , wher…