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Variation of Grassman powers and spectra

By Rajendra Bhatia and Shmuel Friedland

Abstract

AbstractThe operator norm of the derivative of the map which takes a finite-dimensional linear operator to its kth Grassman power (the kth compound) is evaluated. This leads to a bound for the distance between the Grassman powers of two operators. As an important application, a bound for the distance between the eigenvalues of two operators is obtained

Publisher: Published by Elsevier Inc.
Year: 1981
DOI identifier: 10.1016/0024-3795(81)90136-1
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