Generalized Cauchy-Hankel matrices and their applications to subnormal operators
DOI10.1002/mana.201500246zbMath1367.15049OpenAlexW2474081859MaRDI QIDQ2986646
Publication date: 16 May 2017
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201500246
moment matrixHilbert matrixhyponormal operatorssubnormal operators\(k\)-hyponormal operatorsBergman shiftgeneralized Cauchy-Hankel matricessquare roots of operatorstrivial weighted shifts
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Dilations, extensions, compressions of linear operators (47A20) Moment problems (44A60) Conditioning of matrices (15A12) Toeplitz, Cauchy, and related matrices (15B05)
Cites Work
- Unnamed Item
- Berger measure for some transformations of subnormal weighted shifts
- Subnormality for arbitrary powers of 2-variable weighted shifts whose restrictions to a large invariant subspace are tensor products
- On the \(\varkappa\)th root of a Stieltjes moment sequence
- Hyponormality and subnormality for powers of commuting pairs of subnormal operators
- Quadratically hyponormal weighted shifts
- Subnormal roots of subnormal operators
- Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra. I
- Unbounded weighted shifts and subnormality
- Algebras of subnormal operators
- Analytic bounded point evaluations for spaces of rational functions
- Extremal solutions of the two-dimensional \(L\)-problem of moments
- Which weighted shifts are subnormal
- \(k\)-Hyponormality of multivariable weighted shifts
- Subnormal operators
- When is hyponormality for 2-variable weighted shifts invariant under powers?
- DISINTEGRATION-OF-MEASURE TECHNIQUES FOR COMMUTING MULTIVARIABLE WEIGHTED SHIFTS
- Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal
- Subnormality and Weighted Shifts
- $k$-hyponormality of powers of weighted shifts via Schur products
- Subnormal weighted shifts and the Halmos-Bram criterion
- Square Roots of Operators
- Approximation in the mean by polynomials
