Type: Article
Publication Date: 1993-09-01
Citations: 21
DOI: https://doi.org/10.1216/jiea/1181075761
In this paper, we investigate the ε-pseudospectra of Volterra Wiener-Hopf integral operators and constant-coefficient differential operators with boundary conditions at one endpoint for the interval [0, b].We show that although the spectra of these operators are not continuous in the limit b → ∞, the εpseudospectra are continuous as b → ∞ for all ε > 0. These results are an extension of previous work on the pseudospectra of Toeplitz matrices.