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This short technical report presents some learning theory results on vector-valued reproducing kernel Hilbert space (RKHS) regression, where the input space is allowed to be non-compact and the output space is a (possibly infinite-dimensional) Hilbert space.
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Duality in RKHSs with Infinite Dimensional Outputs: Application to Robust Losses
P. Laforgue, A. Lambert, L. Brogat-Motte, and F. d’Alché Buc · 2020
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Vector Valued Reproducing Kernel Hilbert Spaces and Universality
C. Carmeli, E. De Vito, A. Toigo, and V. Umanitá · 2010
Cited alongside, same era.