Geometric Characterization of the Numerical Range of Parallel Sum of Two Orthogonal Projections

Weiyan Yu, Ran Wang, Chen Zhang and Mohammad W. Alomari

Journal of Mathematics, 2024, vol. 2024, 1-10

Abstract: Let H be a complex separable Hilbert space and BH be the algebra of all bounded linear operators from H to H. Our goal in this article is to describe the closure of numerical range of parallel sum operator P:PQ for two orthogonal projections P and Q in BH as a closed convex hull of some explicit ellipses parameterized by points in the spectrum.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1448498

DOI: 10.1155/2024/1448498

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