Multipliers of de Branges-Rovnyak spaces in $H^2$ | Zendy

Fernando Daniel Suárez | Zendy

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Multipliers of de Branges-Rovnyak spaces in $H^2$

Author(s) -

Fernando Daniel Suárez

Publication year - 1995

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/177

Subject(s) - mathematics , hilbert space , pure mathematics , contraction (grammar) , toeplitz matrix , algebra over a field , complement (music) , complementation , linguistics , philosophy , biochemistry , chemistry , gene , phenotype

In 1966 de Branges and Rovnyak introduced a concept of complementation associated to a contraction between Hilbert spaces that generalizes the classical concept of orthogonal complement. When applied to Toeplitz operators on the Hardy space of the disc, H2, this notion turned out to be the starting point of a beautiful subject, with many applications to function theory. The work has been in constant progress for the last few years. We study here the multipliers of some de Branges-Rovnyak spaces contained in H2.

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