ON n-HYPONOHRMALITY FOR BACKWARD EXTENSIONS OF BERGMAN WEIGHTED SHIFTS

DOI10.14317/jami.2021.443zbMath1483.47056OpenAlexW3211469688MaRDI QIDQ5020342

Yanwu Dong, Chunji Li, Guijun Zheng

Publication date: 5 January 2022

Full work available at URL: http://koreascience.or.kr/journal/view.jsp?kj=E1MCA9&py=2021&vnc=v39n3_4&sp=443

zbMATH Keywords

subnormalweighted shiftshyponormal\(n\)-hynonormal

Mathematics Subject Classification ID

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

Cites Work

• Recursively generated weighted shifts and the subnormal completion problem
• Recursively generated weighted shifts and the subnormal completion problem. II
• Weak Hamburger-type weighted shifts and their examples
• A relationship: subnormal, polynomially hyponormal and semi-weakly hyponormal weighted shifts
• Which weighted shifts are subnormal
• A formula for 𝑘-hyponormality of backstep extensions of subnormal weighted shifts
• One-step extension of the Bergman shift
• Existence of non-subnormal completely semi-weakly hyponormal weighted shifts
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