EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 50(64) Preimenovati datoteke, proveriti paginaciju!!!, pp. 111--122 (1991)

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Radial $N$-th derivatives of bounded analytic operator functions

Dusan R. Georgijevi{\cj}

Katedra za matematiku, Ma{\sh}inski fakultet Beograd, Yugoslavia

Abstract: We give, roughly, necessary and sufficient conditions, in terms of the Potapov-Ginzburg factorization, for the existence of $N$-th radial derivatives of bounded analytic operator functions. Our result is a generalization of the result of Ahern and Clark concerning scalar functions [{\bf 1}]. For inner matrix functions (in the case $N$ odd) such a result was proved in [{\bf 2}].

Keywords: analytic operator function, radial derivative, operator-valued kernel

Classification (MSC2000): 30G35; 47B38

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition