Fredholm criteria in a \(C^{\ast}\)-algebra acting on the Hardy space of the bi-disc with applications to composition operators

DOI10.1016/j.jmaa.2019.04.023OpenAlexW2936044057MaRDI QIDQ2314827

Beyaz Basak Koca, Uğur Gül

Publication date: 30 July 2019

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.04.023

zbMATH Keywords

Hardy spacesFredholm operatorcomposition operatorsessential spectra\(C^\ast\)-algebra

Mathematics Subject Classification ID

Operator theory (47-XX) Functions of a complex variable (30-XX)

Cites Work

• Essential spectra of quasi-parabolic composition operators on Hardy spaces of analytic functions
• Cluster set, essential range and distance estimates in BMO
• An invertibility criterion in a C*-algebra acting on the Hardy space with applications to composition operators
• Essential spectra of quasi-parabolic composition operators on Hardy spaces of the Poly-disc
• On the C ∗ -Algebra of Toeplitz Operators on the Quarter-Plane
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