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Inverse Spectral Proparties For Symmetric Operators With Weyl Functions

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  • Dr. Bashir Eissa Mohammad Abedrahaman

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.

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  • Dr. Bashir Eissa Mohammad Abedrahaman, 2022. "Inverse Spectral Proparties For Symmetric Operators With Weyl Functions," Journal of Statistics and Actuarial Research, IPRJB, vol. 6(1), pages 20-42.
    • Handle: RePEc:bdu:ojjsar:v:6:y:2022:i:1:p:20-42:id:1607
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