A Note on Near Subnormal Weighted Shifts

2003/12/19 by Wang Gong-bao, Gong-bao, Wang, Ma Ji-pu +1
Mathematics · #47B20 #47B37 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:47B20 #msc:47B37

paper · pdf · doi:10.48550/arxiv.math/0312371

7 pages

arxiv created 2003/12/19 · arxiv updated 2009/12/01

Abstract

A complete characterization of near subnormality for bilateral weighted shifts is obtained. As an application of the main results, many new answers to the Hilbert space problem 160 are presented at the end of the paper.

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