2 citations · 2 across the 8 of their papers we have counts for
9 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…
Solving gravitational field equations by Wiener-Hopf matrix factorisation, and beyond
M. Cristina Câmara, Gabriel Lopes Cardoso
By viewing Einstein's field equations -- reduced to two dimensions -- as an integrable system, one can simultaneously obtain exact solutions to both the equations themselves and th…
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…
Multipliers and equivalence of functions, spaces, and operators
Cristina Camara, Carlos Carteiro. William T. Ross
This paper offers a unified approach to determining when two generalized Toeplitz operators on L^2 are equivalent. This will be done through multipliers between closed subspaces of…
Generating new gravitational solutions by matrix multiplication
M. Cristina Câmara, Gabriel Lopes Cardoso
Explicit solutions to the non-linear field equations of some gravitational theories can be obtained, by means of a Riemann-Hilbert approach, from a canonical Wiener-Hopf factorisat…
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…