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Pseudospectra of linear operators. (English) Zbl 0896.15006
This overview is a companion to the author’s article [Pitman Res. Notes Math. Ser. 260, 234-266 (1992; Zbl 0798.15005)], where the matrix case was treated.
In this paper newer results on the pseudospectrum of operators are presented and thoroughly discussed. It contains ten examples for pseudospectra of bounded and unbounded operators, e.g. the Wiener-Hopf operator, plane Poiseuille flow operator, Orr-Sommerfeld operator, a differentiation operator.

MSC:
15A18 Eigenvalues, singular values, and eigenvectors
76E05 Parallel shear flows in hydrodynamic stability
47A10 Spectrum, resolvent
65F15 Numerical computation of eigenvalues and eigenvectors of matrices
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