Flat phenomena of 2-variable weighted shifts

DOI10.1016/j.laa.2015.08.010zbMath1375.47015OpenAlexW1164223311MaRDI QIDQ498318

Jaewoong Kim, Jasang Yoon

Publication date: 28 September 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2015.08.010

zbMATH Keywords

2-variable weighted shiftssubnormal pairsflat phenomena and symmetrical flatnessjointly hyponormal pairsmono-weakly \(k\)-hyponormal pairs

Mathematics Subject Classification ID

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)

Related Items (3)

Hyponormality for commuting pairs of operators ⋮ Properties of mono-weakly hyponormal 2-variable weighted shifts ⋮ Propagation phenomena for mono-weakly hyponormal operator pairs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hyponormality and subnormality for powers of commuting pairs of subnormal operators
• Quadratically hyponormal weighted shifts
• Which 2-hyponormal 2-variable weighted shifts are subnormal?
• Nearly subnormal operators and moment problems
• Recursively generated weighted shifts and the subnormal completion problem
• Recursively generated weighted shifts and the subnormal completion problem. II
• Cubically hyponormal weighted shifts and their examples
• Quadratically hyponormal recursively generated weighted shifts need not be positively quadratically hyponormal
• Hyponormal operators
• Quartically hyponormal weighted shifts need not be 3-hyponormal
• \(k\)-Hyponormality of multivariable weighted shifts
• Subnormal operators
• Joint hyponormality of Toeplitz pairs
• A formula for 𝑘-hyponormality of backstep extensions of subnormal weighted shifts
• Extensions and extremality of recursively generated weighted shifts
• 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
• Operator theory and algebraic geometry
• On the Flatness of Semi-Cubically Hyponormal Weighted Shifts
• On Joint Hyponormality of Operators
• A Note on Joint Hyponormality
• A new criterion for $k$-hyponormality via weak subnormality

This page was built for publication: Flat phenomena of 2-variable weighted shifts