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isospectral (Definition)

Two linear operators are said to be isospectral or cospectral if they have the same spectrum. For linear operators over finite dimensional spaces, this means that every eigenvalue of one operator is also an eigenvalue of the other operator.



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Other names:  cospectral
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Cross-references: operator, eigenvalue, finite dimensional, spectrum, linear operators
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This is version 3 of isospectral, born on 2004-10-17, modified 2007-10-27.
Object id is 6387, canonical name is Isospectral.
Accessed 1681 times total.

Classification:
AMS MSC15A04 (Linear and multilinear algebra; matrix theory :: Linear transformations, semilinear transformations)

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