Quartically hyponormal weighted shifts need not be 3-hyponormal

DOI10.1016/j.jmaa.2005.04.020zbMath1079.47027arXivmath/0610887OpenAlexW2069809728MaRDI QIDQ2581471

Sang Hoon Lee, Raúl E. Curto

Publication date: 10 January 2006

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

Full work available at URL: https://arxiv.org/abs/math/0610887

zbMATH Keywords

weighted shift\(k\)-hyponormalcubically hyponormalweakly \(k\)-hyponormalquadratic hyponormalitygap between quartic and cubic hyponormalityquartic hyponormality

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (10)

Unnamed Item ⋮ Semi-cubic hyponormality of weighted shifts with Stampfli recursive tail ⋮ Unnamed Item ⋮ Backward extensions of recursively generated weighted shifts and quadratic hyponormality ⋮ Flat phenomena of 2-variable weighted shifts ⋮ L(n)-HYPONORMALITY: A MISSING BRIDGE BETWEEN SUBNORMALITY AND PARANORMALITY ⋮ Quadratically hyponormal weighted shifts with recursive tail ⋮ Existence of non-subnormal completely semi-weakly hyponormal weighted shifts ⋮ A relationship: subnormal, polynomially hyponormal and semi-weakly hyponormal weighted shifts ⋮ Weighted shifts induced by Hamburger moment sequences

Uses Software

• Mathematica

Cites Work

• Quadratically hyponormal weighted shifts
• Linear combinations of hyponormal operators
• Nearly subnormal operators and moment problems
• Cubically hyponormal weighted shifts and their examples
• Towards a model theory for 2-hyponormal operators.
• Subnormal operators
• Joint hyponormality of Toeplitz pairs
• Operator theory and algebraic geometry
• On Joint Hyponormality of Operators
• A Note on Joint Hyponormality
• Existence of non-subnormal polynomially hyponormal operators
• A new criterion for $k$-hyponormality via weak subnormality
• Subnormal weighted shifts and the Halmos-Bram criterion
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