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Interpolation problems, extensions of symmetric operators and reproducing kernel spaces II

✍ Scribed by Daniel Alpay; Piet Bruinsma; Aad Dijksma; Henk de Snoo

Publisher
SP Birkhäuser Verlag Basel
Year
1992
Tongue
English
Weight
472 KB
Volume
15
Category
Article
ISSN
0378-620X

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Many nonlinear optimal control and estimation problems can be formulated as Tikhonov variational problems in an infinite dimensional reproducing kernel Hilbert space. This paper shows that any closed ball contained in such spaces is compact in the sup-norm topology. This result is exploited to obtai