INVERSE SPECTRAL PROPARTIES FOR SYMMETRIC OPERATORS WITH WEYL FUNCTIONS

Dr. Bashir Eissa Mohammad Abedrahaman ()

Journal of Statistics and Actuarial Research, 2022, vol. 6, issue 1, 20 - 42

Abstract: We prove that an operator measure in general is non-orthogonal and unbounded and two orthogonal spectral measures are unitarily equivalent. In accordance with the stieltjes inversion formula the spectral measure admits an analytic continuation .We discuss and prove a sharp estimate that a strictly monotone function on each component interval of the inverse function is analytic and also strictly monotone with Weyl functions.

Keywords: symmetric operator; adjoin extensions; Nevanlinna functions; Weyl functions. (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:bdu:ojjsar:v:6:y:2022:i:1:p:20-42:id:1607

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