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Norm of a linear combination of two operators on a Hilbert space

Norm of a linear combination of two operators on a Hilbert space

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 γ A + δ B is right invertible then we study the operator norm of (α A + β B )(γ A …