The Near Subnormal Weighted Shift and Recursiveness | Zendy

R. Ben Taher | Zendy; Mustapha Rachidi | Zendy

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The Near Subnormal Weighted Shift and Recursiveness

Author(s) -

R. Ben Taher,

Mustapha Rachidi

Publication year - 2013

Publication title -

international journal of analysis

Language(s) - English

Resource type - Journals

eISSN - 2314-4998

pISSN - 2314-498X

DOI - 10.1155/2013/397262

Subject(s) - mathematics , moment (physics) , class (philosophy) , order (exchange) , algebra over a field , combinatorics , pure mathematics , algorithm , discrete mathematics , computer science , artificial intelligence , physics , finance , classical mechanics , economics

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.

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