The Near Subnormal Weighted Shift and Recursiveness

R. Ben Taher and M. Rachidi

International Journal of Analysis, 2013, vol. 2013, 1-4

Abstract:

We aim at studying the near subnormality of the unilateral weighted shifts, whose moment sequences are defined by linear recursive relations of finite order. Using the basic properties of recursive sequences, we provide a natural necessary condition, that ensure the near subnormality of this important class of weighted shifs. Some related new results are established; moreover, applications and consequences are presented; notably the notion of near subnormal completion weighted shift is implanted and explored.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:397262

DOI: 10.1155/2013/397262

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