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A Gleason-Kahane-Żelazko theorem for reproducing kernel Hilbert spaces
Cheng Chu, Michael Hartz, Javad Mashreghi +1
We establish the following Hilbert-space analogue of the Gleason-Kahane-Żelazko theorem. If is a reproducing kernel Hilbert space with a normalized complete Pick kern…
Product of truncated Hankel and truncated Toeplitz operators
Cheng Chu
A truncated Toeplitz operator is the compression of a classical Toeplitz operator on the Hardy space to a model space. A truncated Hankel operator is the compression of a Hankel op…
Which de Branges-Rovnyak spaces have complete Nevanlinna-Pick property?
Cheng Chu
We characterize the de Branges-Rovnyak spaces with complete Nevanlinna-Pick property. Our method relies on the general theory of reproducing kernel Hilbert spaces.
Reducing Subspaces of de Branges-Rovnyak Spaces
Cheng Chu
For , the closed unit ball of , the de Branges-Rovnyak spaces is a Hilbert space contractively contained in the Hardy space that i…
Hilbert Spaces Contractively Contained in Weighted Bergman Spaces on the Unit Disk
Cheng Chu
Sub-Bergman Hilbert spaces are analogues of de Branges-Rovnyak spaces in the Bergman space setting. They are reproducing kernel Hilbert spaces contractively contained in the Bergma…
Normal Truncated Toeplitz Operators
Cheng Chu
The characterization of normal truncated Toepltiz operators is first given by Chalendar and Timotin. We give an elementary proof of their result without using the algebraic propert…