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Mathematics 2019, 7(2), 212; https://doi.org/10.3390/math7020212

On Positive Quadratic Hyponormality of a Unilateral Weighted Shift with Recursively Generated by Five Weights

1
Department of Mathematics, Northeastern University, Shenyang 110-004, China
2
Department of Mathematics, Hannam University, Daejeon 34430, Korea
*
Author to whom correspondence should be addressed.
Received: 16 January 2019 / Revised: 7 February 2019 / Accepted: 8 February 2019 / Published: 25 February 2019
(This article belongs to the Special Issue Polynomials: Theory and Applications)
Full-Text   |   PDF [314 KB, uploaded 25 February 2019]   |  

Abstract

Let 1 < a < b < c < d and α ^ 5 : = 1 , a , b , c , d be a weighted sequence that is recursively generated by five weights 1 , a , b , c , d . In this paper, we give sufficient conditions for the positive quadratic hyponormalities of W α x and W α y , x , with α x : x , α ^ 5 and α y , x : y , x , α ^ 5 . View Full-Text
Keywords: positively quadratically hyponormal; quadratically hyponormal; unilateral weighted shift; recursively generated positively quadratically hyponormal; quadratically hyponormal; unilateral weighted shift; recursively generated
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Li, C.; Ryoo, C.S. On Positive Quadratic Hyponormality of a Unilateral Weighted Shift with Recursively Generated by Five Weights. Mathematics 2019, 7, 212.

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