Abstract
We investigate the differentiability of functions of stationary vectors associated with operator valued functions as well as the differentiability of the operator valued functions themselves. We display formulas connecting the derivatives of the parametric families of operators and vectors. The results are applied to the case of stochastic kernels.
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Communicated by Dénes Petz
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Weisshaupt, H. On the differentiability of parametrized families of linear operators and the sensitivity of their stationary vectors. Period Math Hung 59, 147–171 (2009). https://doi.org/10.1007/s10998-009-0147-2
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DOI: https://doi.org/10.1007/s10998-009-0147-2