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For $\\alpha\\in(-1,0)$ the operators constructed are normal, while for $\\alpha\\in(0,1)$ the operator is the unilateral shift on the Hardy space $H^2(\\mathbb{D})$.<\/jats:p>","DOI":"10.1137\/080734133","type":"journal-article","created":{"date-parts":[[2009,9,4]],"date-time":"2009-09-04T18:16:11Z","timestamp":1252088171000},"page":"2620-2635","source":"Crossref","is-referenced-by-count":6,"title":["Counterexamples to the Discrete and Continuous Weighted Weiss Conjectures"],"prefix":"10.1137","volume":"48","author":[{"given":"Andrew","family":"Wynn","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2009,9,4]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","unstructured":"D.R. Adams and L.I. 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