The norm of the k-the derivative of the Chisymmetric power of an operator

Carvalho,  Sonia; Freitas, Pedro J.

http://hdl.handle.net/10400.21/8153

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Authors

Carvalho, Sonia

Freitas, Pedro J.

Abstract(s)

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.

Keywords

Norms Derivatives Compound matrix Induced power of a matrix, Immanant

URI

http://hdl.handle.net/10400.21/8153

Citation

CARVALHO, Sónia; FREITAS, Pedro J. – The norm of the k-the derivative of the Chisymmetric power of an operator. Electronic Journal of Linear Algebra. ISSN 1081-3810. Vol. 27, (2014), pp. 302-316.