Gaussian Processes with Sample Paths in Reproducing Kernel Banach Spaces

Name: Gaussian Processes with Sample Paths in Reproducing Kernel Banach Spaces
Uploaded: 2026-10-23T04:02:28.802461+00:00
Duration: 640 s
Description: The paper extends Driscoll's theorem to separable reproducing kernel Banach spaces, providing necessary and sufficient conditions for Gaussian processes to define Gaussian random elements within these spaces. It characterizes covariance operators of Radon Gaussian measures using $\gamma$-radonifying operators, linking them to the structure of the underlying Banach space.

The paper extends Driscoll's theorem to separable reproducing kernel Banach spaces, providing necessary and sufficient conditions for Gaussian processes to define Gaussian random elements within these spaces. It characterizes covariance operators of Radon Gaussian measures using $\gamma$-radonifying operators, linking them to the structure of the underlying Banach space.

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