Trace perturbation formulas for operator functions

Thursday, October 3, 2013 - 3:30pm
MSB 111
Anna Skripka (University of New Mexico)

The talk will address representations for Taylor-like approximations of operator functions that provide analogs of Lifshits-Krein's and Koplienko's trace formulas in case of more general perturbations. In these new trace formulas, the initial and perturbed operators are allowed to be nonnormal and the perturbations can be elements of symmetrically normed ideals. In addition to a variety of situations for single variable functions, we will also discuss the case of multivariable functions. The mentioned results are formulated in simple terms (which makes them accessible to a broad audience), yet the proofs are rather sophisticated due to noncommutativity of operators (and will be omitted).

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