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Near subnormality of weighted shifts and the answer to the Hilbert space problem 160. (English) Zbl 1026.47014
From the authors; abstract: In this paper, the notion of near subnormality of operator is given. The authors obtain necessary and sufficient conditions for a unilateral weighted shift to be near subnormal. Moreover, as an application of that result, many answers to the Hilbert space problem 160 are presented at the end of the paper.

MSC:
47B20 Subnormal operators, hyponormal operators, etc.
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
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