alexa A Horn type spectral problem 1
ISSN: 1736-4337

Journal of Generalized Lie Theory and Applications
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Research Article

A Horn type spectral problem 1

Stanislav POPOVYCH

Department of Mathematics, Chalmers University of Technology, SE-412 96 G¨oteborg, Sweden E-mail: [email protected]

*Corresponding Author:
Stanislav POPOVYCH
Department of Mathematics
Chalmers University of Technology
SE-412 96 G¨oteborg, Sweden
E-mail:[email protected]

Received date: December 20, 2007; Revised date: March 19, 2008

 

Abstract

The famous Horn’s problem is about the possible eigenvalue list of a sum of two Hermitian matrices with prescribed eigenvalue lists. The Spectral Problem is to describe possible spectra for an irreducible finite family of Hermitian operators with the sum being a scalar operator. In case when spectra consist of finite number of points the complexity of the problem depends on properties of some rooted tree. We will consider the cases for which the explicit answer on the Spectral Problem can be obtained.

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