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On the multiplicity of Darlington realizations of contractive matrix-valued functions

✍ Scribed by Elsa Cortina; Carlos Enrique D'Attellis


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
789 KB
Volume
125
Category
Article
ISSN
0022-247X

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We show that every matrix valued generalized Nevanlinna function can be represented w a u-resolvent of a certain selfadjoint relation acting in a Pontryagin space. The negative index of this Pontryagin space may be larger than the number of negative squares of the given function. The minimal index