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

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 ell...

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Bibliographic Details
Main Authors: Weiyan Yu, Ran Wang, Chen Zhang
Format: Article
Language:English
Published: Hindawi Limited 2024-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2024/1448498