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Trace identities from identities for determinants

✍ Scribed by S. Humphries; C. Krattenthaler


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
174 KB
Volume
411
Category
Article
ISSN
0024-3795

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Using simple commutator relations, we obtain several trace identities involving eigenvalues and eigenfunctions of an abstract self-adjoint operator acting in a Hilbert space. Applications involve abstract universal estimates for the eigenvalue gaps. As particular examples, we present simple proofs o