L(n)-HYPONORMALITY: A MISSING BRIDGE BETWEEN SUBNORMALITY AND PARANORMALITY

DOI10.1017/S1446788710000091zbMath1187.47020OpenAlexW2098451621MaRDI QIDQ3560280

Il Bong Jung, Sun Hyun Park, Jan Stochel

Publication date: 19 May 2010

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788710000091

zbMATH Keywords

subnormal operatorcomposition operatorparanormal operatorweighted shift operator\(L(n)\)-hyponormal operatorAgler's functional model

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear composition operators (47B33)

Cites Work

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• Quadratically hyponormal weighted shifts
• The Arveson extension theorem and coanalytic models
• Composition operators with weak hyponormality
• On a class of operators
• Quartically hyponormal weighted shifts need not be 3-hyponormal
• Subnormal operators
• A formula for 𝑘-hyponormality of backstep extensions of subnormal weighted shifts
• On Joint Hyponormality of Operators
• A Note on Joint Hyponormality
• k-Hyponormality of Weighted Shifts
• Subnormality and Weighted Shifts
• $p$–hyponormality is not translation–invariant
• Separating classes of composition operators via subnormal condition
• On the class of paranormal operators

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