Ela the Norm of the K-th Derivative of the Χ-symmetric Power of an Operator
نویسندگان
چکیده
In this paper, the exact value for the norm of directional derivatives, of all orders, for symmetric tensor powers of operators on finite dimensional vector spaces is presented. Using this result, an upper bound for the norm of all directional derivatives of immanants is obtained. This work is inspired in results by R. Bhatia, J. Dias da Silva, P. Grover, and T. Jain.
منابع مشابه
Ela the K-th Derivatives of the Immanant and the Χ-symmetric Power of an Operator∗
In recent papers, formulas are obtained for directional derivatives, of all orders, of the determinant, the permanent, the m-th compound map and the m-th induced power map. This paper generalizes these results for immanants and for other symmetric powers of a matrix.
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