Sunder, V. S.
(1982)
*On permutations, convex hulls, and normal operators*
Linear Algebra and its Applications, 48
.
pp. 403-411.
ISSN 0024-3795

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0024-3795(82)90123-9

## Abstract

A spectral characterization is obtained for those normal operators which belong to the convex hull of the unitary orbit of a given normal operator on a finite-dimensional space. This is used to prove the following: if A and B are normal operators on an n-dimensional complex Hilbert space H with eigenvalues given by α_{1},....,α_{n} and β_{1},....,β_{n} respectively, and if A-B is also normal, then ||A-B||≤max_{σεSn}||diag(α_{k} -β_{σ(k)})|| for any unitarily invariant norm on L(H).

Item Type: | Article |
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Source: | Copyright of this article belongs to Elsevier Science. |

ID Code: | 53545 |

Deposited On: | 09 Aug 2011 11:47 |

Last Modified: | 09 Aug 2011 11:47 |

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