A relationship: Subnormal, polynomially hyponormal and semi-weakly hyponormal weighted shifts

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:479

Article

Li, Chunji¹  Lee, Mi Ryeong²  Baek, Seunghwan³ 

[1] Northeastern Univ, Dept Math, Shenyang 110819, Liaoning, Peoples R China

[2] Daegu Catholic Univ, Inst Liberal Educ, Gyongsan 38430, Gyeongbuk, South Korea

[3] Kyungpook Natl Univ, Dept Math, Daegu 41566, South Korea

关键词: Subnormal;    Polynomially hyponormal;    Semi-weakly hyponormal;    Weighted shifts;   

DOI  :  10.1016/j.jmaa.2019.06.046

来源: Elsevier

【 摘 要 】

Let alpha(x) : root x, (root a, root b, root c)boolean AND be a one-step backward extension sequence of Stampfli's subnormal completion, where 0 < x <= a < b < c, and let W-alpha(x) be the associated weighted shift. In this paper, we prove that W-alpha(x) is subnormal if and only if W-alpha(x) is polynomially hyponormal, which also is equivalent to that W-alpha(x) is completely semi-weakly hyponormal. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free