Quadratically hyponormal weighted shifts with recursive tail

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• 作者：George R. Exner ; Il Bong Jung ; Mi Ryeong Lee ; Sun Hyun Park
• 关键词：Weighted shift ; Quadratic hyponormality ; Positive quadratic hyponormality
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2013
• 出版时间：1 December, 2013
• 年：2013
• 卷：408
• 期：1
• 页码：298-305
• 全文大小：393 K

文摘

We characterize positive quadratic hyponormality of the weighted shift associated to the weight sequence with Stampfli recursive tail, and produce an interval in with non-empty interior in the positive real line for quadratic hyponormality but not positive quadratic hyponormality for such a shift.