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We list a handful of basic pseudospectral theorems here; download the accompanying postscript or PDF files for proofs and citations. There are many other important results than those found here; see, for example, [ET01] and [Tre97].


Equivalent Definitions of Pseudospectra

Basic Mapping Theorem

Pseudospectra of Similarity Transformations

Pseudospectral Bound on the Norm of a Matrix Function

A Relationship Between Pseudospectra and the Numerical Range