Recursively generated weighted shifts and the subnormal completion problem. II
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Publication:1329544
DOI10.1007/BF01200183zbMath0807.47016OpenAlexW2082188449MaRDI QIDQ1329544
Lawrence A. Fialkow, Raúl E. Curto
Publication date: 12 July 1994
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01200183
recursively generated weighted shiftsanalyzing 1-step extensions of recursive subnormal completionshyponormal weighted shiftsquadratically hyponormal shifts which are not subnormalsubnormal completion criterion
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)
Related Items (51)
Recursiveness and propagation for 2-variable weighted shifts ⋮ The matricial subnormal completion problem ⋮ Existence of non-subnormal polynomially hyponormal operators ⋮ Criteria for positively quadratically hyponormal weighted shifts ⋮ Solution of the quadratically hyponormal completion problem ⋮ Unnamed Item ⋮ $k$-hyponormality of finite rank perturbations of unilateral weighted shifts ⋮ The near subnormal weighted shift and recursiveness ⋮ Unnamed Item ⋮ A subnormal completion problem for weighted shifts on directed trees. II ⋮ Semi-cubic hyponormality of weighted shifts with Stampfli recursive tail ⋮ ON n-HYPONOHRMALITY FOR BACKWARD EXTENSIONS OF BERGMAN WEIGHTED SHIFTS ⋮ A Subnormal Toeplitz Completion Problem ⋮ Unnamed Item ⋮ The subnormal completion problem in several variables ⋮ Which weighted shifts are flat ⋮ \(n\)-hyponormality and \(n\)-contractivity of generalized Bergman weighted shifts ⋮ The Flatness Property of Local-cubically Hyponormal Weighted Shifts ⋮ Subnormality of Aluthge transforms of weighted shifts ⋮ Stability in truncated trigonometric scalar moment problems ⋮ Hyponormality and subnormality of block Toeplitz operators ⋮ On semi-weakly \(n\)-hyponormal weighted shifts ⋮ Backward extensions of recursively generated weighted shifts and quadratic hyponormality ⋮ Weak positive matrices and hyponormal weighted shifts ⋮ A formula for 𝑘-hyponormality of backstep extensions of subnormal weighted shifts ⋮ A subnormal completion problem for weighted shifts on directed trees ⋮ Flat phenomena of 2-variable weighted shifts ⋮ Weak Hamburger-type weighted shifts and their examples ⋮ Recursiveness approach to multi-dimensional moment problems ⋮ Mixed Bram-Halmos and Agler-Embry conditions ⋮ Subnormality of unbounded composition operators over one-circuit directed graphs: exotic examples ⋮ A new criterion for $k$-hyponormality via weak subnormality ⋮ Extensions and extremality of recursively generated weighted shifts ⋮ BACKWARD 3-STEP EXTENSIONS OF RECURSIVELY GENERATED WEIGHTED SHIFTS: A RANGE OF QUADRATIC HYPONORMALITY ⋮ Quadratically hyponormal weighted shifts with recursive tail ⋮ The mean transform of bounded linear operators ⋮ Subnormality of Bergman-like weighted shifts ⋮ A new approach to the 2-variable subnormal completion problem ⋮ Quadratically Hyponormal Recursively Generated Weighted Shifts ⋮ The truncated complex $K$-moment problem ⋮ Existence of non-subnormal completely semi-weakly hyponormal weighted shifts ⋮ Hyponormal operators with rank-two self-commutators ⋮ The quintic complex moment problem ⋮ Propagation phenomena for mono-weakly hyponormal operator pairs ⋮ A relationship: subnormal, polynomially hyponormal and semi-weakly hyponormal weighted shifts ⋮ Quadratically hyponormal weighted shifts and their examples ⋮ Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal ⋮ Weighted shifts induced by Hamburger moment sequences ⋮ \(k\)-Hyponormality of multivariable weighted shifts ⋮ One-step extension of the Bergman shift ⋮ Towards a model theory for 2-hyponormal operators.
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