An inverse problem for kernels of block Hankel operators

DOI10.1016/j.bulsci.2021.103021zbMath1487.47049OpenAlexW3181312240MaRDI QIDQ2046109

Jaehui Park, Caixing Gu, Dong-O. Kang

Publication date: 17 August 2021

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2021.103021

zbMATH Keywords

Hankel operatorinner matrixbounded type

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items

Cowen sets for Toeplitz operators ⋮ On Douglas-Shapiro-Shields factorizations ⋮ Invariant subspaces of the direct sum of forward and backward shifts on vector-valued Hardy spaces

Cites Work

• Hyponormality of block Toeplitz operators
• Beurling-Malliavin theory for Toeplitz kernels
• Kernel of vector-valued Toeplitz operators
• Some properties of the kernel and the cokernel of Toeplitz operators with matrix symbols
• Subnormal Toeplitz operators and functions of bounded type
• Kernels of Toeplitz operators, smooth functions, and Bernstein type inequalities
• Geometric significance of Toeplitz kernels
• Kernels of Toeplitz operators via Bourgain's factorization theorem
• The Beurling-Lax-Halmos theorem for infinite multiplicity
• Near invariance and kernels of Toeplitz operators
• Independence of vector-valued functions associated with kernels of block Hankel operators
• Cyclic vectors and invariant subspaces of the backward shift operator
• Separation for kernels of Hankel operators
• Finite-dimensional Toeplitz kernels and nearly-invariant subspaces
• Ten problems in Hilbert space
• The factorization problem for nonnegative operator valued functions
• Kernels of Hankel operators and hyponormality of Toeplitz operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item