Semi-cubically hyponormal weighted shifts with Stampfi's subnormal completion

2018/03/09 by Seung‐Hwan Baek, Seunghwan Baek, Baek, Seunghwan +2
Mathematics · #47B20 #47B37 #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Meromorphic and Entire Functions #math.FA #msc:47B20 #msc:47B37

paper · pdf · doi:10.48550/arxiv.1803.03349

13 pages

arxiv created 2018/03/09 · openalex publication_date 2018/03/09 · arxiv updated 2018/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let α:1,(1,√(x),√(y))^\wedge be a weight sequence with Stampfli's subnormal completion and let W_α be its associated weighted shift. In this paper we discuss some properties of the region U:=\(x,y):W_α is semi-cubically hyponormal\ and describe the shape of the boundary of U. In particular, we improve the results of \cite[Theorem 4.2]LLB with properties of U.

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