Fredholm theory of Toeplitz operators on doubling Fock Hilbert spaces

Autor:	Aamena Al-Qabani, Titus Hilberdink, Jani Virtanen
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Pure mathematics Mathematics::Functional Analysis Oscillation Mathematics::Operator Algebras General Mathematics 010102 general mathematics Hilbert space 01 natural sciences Fredholm theory Toeplitz matrix Fock space symbols.namesake Bounded function symbols 0101 mathematics Mathematics
ISSN:	1903-1807
Popis:	We study the Fredholm properties of Toeplitz operators acting on doubling Fock Hilbert spaces, and describe their essential spectra for bounded symbols of vanishing oscillation. We also compute the index of these Toeplitz operators in the special case when $\varphi (z) = \lvert {z}\rvert^{\beta }$ with $\beta >0$. Our work extends the recent results on Toeplitz operators on the standard weighted Fock spaces to the setting of doubling Fock spaces.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dad6c25d335dea99fc846c02eda22849 Zobrazit plný text záznamu