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math.FA2024
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…
math.FA2024
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,…
math.FA2024
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…