Quadratically hyponormal weighted shifts
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Publication:915094
DOI10.1007/BF01195292zbMath0702.47011OpenAlexW2044295129MaRDI QIDQ915094
Publication date: 1990
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01195292
Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)
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Recursively generated weighted shifts and the subnormal completion problem. II ⋮ Polynomial embeddings of unilateral weighted shifts in 2-variable weighted shifts ⋮ ON THE NORM ATTAINING OPERATORS ⋮ Berger measure for some transformations of subnormal weighted shifts ⋮ On joint posinormality of operators ⋮ On a class of jointly hyponormal Toeplitz operators ⋮ Recursiveness and propagation for 2-variable weighted shifts ⋮ Existence of non-subnormal polynomially hyponormal operators ⋮ Criteria for positively quadratically hyponormal weighted shifts ⋮ Subnormality of 2-variable weighted shifts with diagonal core ⋮ Solution of the quadratically hyponormal completion problem ⋮ Solution of the reconstruction-of-the-measure problem for canonical invariant subspaces ⋮ Unnamed Item ⋮ Backward extensions of subnormal operators ⋮ On \(k\)-hyperexpansive operators ⋮ $k$-hyponormality of finite rank perturbations of unilateral weighted shifts ⋮ Conditional positive definiteness in operator theory ⋮ Backward extensions of weighted shifts on directed trees ⋮ Semi-cubic hyponormality of weighted shifts with Stampfli recursive tail ⋮ A Subnormal Toeplitz Completion Problem ⋮ Hyponormality and subnormality for powers of commuting pairs of subnormal operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An answer to a question of A.\,Lubin: the lifting problem for commuting subnormals ⋮ Hyponormality for commuting pairs of operators ⋮ Which weighted shifts are flat ⋮ \(n\)-hyponormality and \(n\)-contractivity of generalized Bergman weighted shifts ⋮ The Flatness Property of Local-cubically Hyponormal Weighted Shifts ⋮ Conditionally positive definite unilateral weighted shifts ⋮ Subnormality of Aluthge transforms of weighted shifts ⋮ Joint backward extension property for weighted shifts on directed trees ⋮ Properties of mono-weakly hyponormal 2-variable weighted shifts ⋮ On semi-weakly \(n\)-hyponormal weighted shifts ⋮ One-step extensions of subnormal 2-variable weighted shifts ⋮ Generalized Cauchy-Hankel matrices and their applications to subnormal operators ⋮ Subnormality for arbitrary powers of 2-variable weighted shifts whose restrictions to a large invariant subspace are tensor products ⋮ 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 ⋮ Perturbation of the \(q\)-numerical radius of a weighted shift operator ⋮ Moment infinitely divisible weighted shifts ⋮ Model theory for hyponormal contractions ⋮ Flat phenomena of 2-variable weighted shifts ⋮ Which 2-hyponormal 2-variable weighted shifts are subnormal? ⋮ L(n)-HYPONORMALITY: A MISSING BRIDGE BETWEEN SUBNORMALITY AND PARANORMALITY ⋮ Weak Hamburger-type weighted shifts and their examples ⋮ Aluthge transforms of 2-variable weighted shifts ⋮ Mixed Bram-Halmos and Agler-Embry conditions ⋮ 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 ⋮ Separating classes of composition operators via subnormal condition ⋮ Subnormality of Bergman-like weighted shifts ⋮ Weakly \(k\)-hyponormal and polynomially hyponormal commuting operator pairs ⋮ Berger measure for \(S(a,b,c,d)\) ⋮ Unnamed Item ⋮ Conditional positive definiteness as a bridge between \(k\)-hyponormality and \(n\)-contractivity ⋮ Quadratically Hyponormal Recursively Generated Weighted Shifts ⋮ Existence of non-subnormal completely semi-weakly hyponormal weighted shifts ⋮ Hyponormal operators with rank-two self-commutators ⋮ WEAKLY SUBNORMAL WEIGHTED SHIFTS NEED NOT BE 2-HYPONORMAL ⋮ Moment infinite divisibility of weighted shifts: sequence conditions ⋮ 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 ⋮ Cubically hyponormal weighted shifts and their examples ⋮ Quadratically hyponormal weighted shifts with two equal weights ⋮ Jumping flatness and Aluthge transform of recursive weighted shifts ⋮ Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal ⋮ Quartically hyponormal weighted shifts need not be 3-hyponormal ⋮ Weighted shifts induced by Hamburger moment sequences ⋮ \(k\)-Hyponormality of multivariable weighted shifts ⋮ One-step extension of the Bergman shift ⋮ Recursively generated weighted shifts and the subnormal completion problem ⋮ A Note on Joint Hyponormality ⋮ Towards a model theory for 2-hyponormal operators. ⋮ Moment sequences and backward extensions of subnormal weighted shifts ⋮ Weighted shifts on directed trees
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