Brian Lins

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20152020

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math.FA2020

The essential numerical range and a theorem of Simon on the absorption of eigenvalues

Brian Lins

Let $A (t)$ be a holomorphic family of self-adjoint operators of type (B) on a complex Hilbert space $H$ . Kato-Rellich perturbation theory says that isolated eigenvalues o…

math.FA2020

Numerical ranges encircled by analytic curves

Brian Lins

Let $D$ be a bounded convex domain in $C$ with a regular analytic boundary. Suppose that the numerical range $W (A)$ of a bounded linear operator $A$ is contained in $\over…