Toeplitz operators on the space of real analytic functions: the Fredholm property

DOI10.1215/17358787-2017-0022zbMath1489.47050OpenAlexW2745280130MaRDI QIDQ1697701

Paweł Domański, Michał Jasiczak

Publication date: 20 February 2018

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1501812082

zbMATH Keywords

Cauchy transformToeplitz operatorFredholm operatorFredholm indexspace of real analytic functions

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Linear operators on function spaces (general) (47B38) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Hardy spaces (30H10) Algebras of analytic functions of one complex variable (30H50)

Related Items (4)

One-sided invertibility of Toeplitz operators on the space of real analytic functions on the real line ⋮ Toeplitz operators on the space of all holomorphic functions on finitely connected domains ⋮ On the Toeplitz algebra in the case of all entire functions and all functions holomorphic in the unit disc ⋮ Toeplitz operators on the space of all entire functions

This page was built for publication: Toeplitz operators on the space of real analytic functions: the Fredholm property