11 papers
Shift invariance and reflexivity of compressions of multiplication operators
M. Cristina Câmara, Kamila Kliś-Garlicka, Bartosz Łanucha +1
The property of being shift invariant and being reflexive or transitive in the case of the space of (asymmetric) truncated Toeplitz operators, and the space of (asymmetric) dual tr…
Intertwining property for compressions of multiplication operators
M. Cristina Câmara, Kamila Kliś--Garlicka, Bartosz Łanucha +1
Following Beurling's theorem the natural compressions of the multiplication operator in the classical space are compressions to model spaces and to their orthogonal complemen…
Dual-band general Toeplitz operators
M. Cristina Câmara, Ryan O'Loughlin, Jonathan R. Partington
We relate dual-band general Toeplitz operators to block truncated Toeplitz operators and, via equivalence after extension, with Toeplitz operators with matrix symbols.…
Kernels of unbounded Toeplitz operators and factorization of symbols
M. Cristina Câmara, M. Teresa Malheiro, Jonathan R. Partington
We consider kernels of unbounded Toeplitz operators in in terms of a factorization of their symbols. We study the existence of a minimal Toeplitz kernel containi…
The dual of the compressed shift
M. C. Camara, W. T. Ross
For an inner function u we discuss the dual operator for the well-known compressed shift. We establish conditions for two dual compressed shifts to be unitarily equivalent/similar…
Conjugations in
M. Cristina Câmara, Kamila Kliś--Garlicka, Bartosz Łanucha +1
Conjugations commuting with and intertwining and in , where is a Hilbert space, are characterize…