5 papers · 1 filter
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…
Maximal functions, conjugations and multipliers between Toeplitz kernels
M. Cristina Câmara, C. Carteiro, C. Diogo
Toeplitz kernels can be defined by Riemann-Hilbert problems, by maximal functions, or by multipliers acting on model spaces. In this paper we study those different characterisation…
Factorisation of symmetric matrices and applications in gravitational theories
M. Cristina Câmara, Gabriel Lopes Cardoso
We consider the canonical Wiener-Hopf factorisation of symmetric matrices with respect to a contour . For the case that the quotient of the two dia…
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,…
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…