Algebras of generalized Cauchy singular integral operators

DOI10.1007/s43037-022-00239-wOpenAlexW4313555386MaRDI QIDQ2112381

Yuanqi Sang

Publication date: 10 January 2023

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

Full work available at URL: https://doi.org/10.1007/s43037-022-00239-w

zbMATH Keywords

singular integral operatorToeplitz operatorFredholm operator\(C^\ast\)-algebra

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Linear operators in ({}^*)-algebras (47C10)

Cites Work

• On the dilation of truncated Toeplitz operators
• Normal singular integral operators with Cauchy kernel on \(L^2\)
• Algebraic properties of Cauchy singular integral operators on the unit circle
• Norms and essential norms of the singular integral operator with Cauchy kernel on weighted Lebesgue spaces
• On the similarity problem for polynomially bounded operators on Hilbert space
• Banach algebras of singular integral operators with piecewise continuous coefficients. General contour and weight
• Invertibility theory for Toeplitz plus Hankel operators and singular integral operators with flip.
• A commutator approach to truncated singular integral operators
• Dual truncated Toeplitz operators
• Dual truncated Toeplitz \(C^*\)-algebras
• Toeplitz operators and the Berezin transform on \(H^ 2\)
• Essential norms of some singular integral operators
• Invertibility issues for Toeplitz plus Hankel operators and their close relatives
• A theorem of Brown-Halmos type for dual truncated Toeplitz operators
• Invertibility, Fredholmness and kernels of dual truncated Toeplitz operators
• On the dilation of truncated Toeplitz operators. II
• Algebra generated by one-dimensional singular integral operators with piecewise continuous coefficients
• Harmonic Hardy space and their operators
• A polynomially bounded operator on Hilbert space which is not similar to a contraction
• Norm inequalities for some singular integral operators
• Hyponormality of the dilation of truncated Toeplitz operators
• Toeplitz Matrices and Operators
• SOME GENERAL QUESTIONS IN THE THEORY OF THE RIEMANN BOUNDARY PROBLEM
• Ten problems in Hilbert space
• Complex symmetric operators and applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Algebras of generalized Cauchy singular integral operators