Geometric Characterization of the Numerical Range of Parallel Sum of Two Orthogonal Projections
Weiyan Yu,
Ran Wang,
Chen Zhang
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.
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