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Norm of a linear combination of two operators on a Hilbert space
Published online by Cambridge University Press: 17 April 2009
Abstract
Let α, β γ, δ be complex numbers such that γδ ≠ 0. If A and B are bounded linear operators on the Hilbert space H such that γA + δB is right invertible then we study the operator norm of (αA + βB)(γA + δB)−1 using the angle φ between two subspaces ran A and ran B or the angle ψ = ψ(A, B) between two operators A and B where
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- Copyright © Australian Mathematical Society 2002