Bartosz Łanucha

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math.FA2020

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 $L^{2}$ space are compressions to model spaces and to their orthogonal complemen…

math.FA2019

Conjugations in $L^{2} (H)$

M. Cristina Câmara, Kamila Kliś--Garlicka, Bartosz Łanucha +1

Conjugations commuting with $M_{z}$ and intertwining $M_{z}$ and $M_{z ˉ}$ in $L^{2} (H)$ , where $H$ is a Hilbert space, are characterize…

math.FA2019

Invertibility, Fredholmness and kernels of dual truncated Toeplitz operators

M. Cristina Câmara, Kamila Kliś-Garlicka, Bartosz Łanucha +1

Asymmetric dual truncated Toeplitz operators acting between the orthogonal complements of two (eventually different) model spaces are introduced and studied. They are shown to be e…

Intertwining property for compressions of multiplication operators

Conjugations in L2(H)

Invertibility, Fredholmness and kernels of dual truncated Toeplitz operators

Conjugations in $L^{2} (H)$