Variation of Grassman powers and spectra

Bhatia, Rajendra ; Friedland, Shmuel (1981) Variation of Grassman powers and spectra Linear Algebra and its Applications, 40 . pp. 1-18. ISSN 0024-3795

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002437...

Related URL: http://dx.doi.org/10.1016/0024-3795(81)90136-1

Abstract

The 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.

Item Type:Article
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ID Code:2596
Deposited On:08 Oct 2010 07:16
Last Modified:08 Oct 2010 07:16

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