Gebelein inequality in a Hilbert space
Volume 50 / 2023
Applicationes Mathematicae 50 (2023), 149-166
MSC: Primary 60B11; Secondary 60B12, 46G12, 28C20
DOI: 10.4064/am2478-1-2024
Published online: 1 February 2024
Abstract
We present the Gebelein inequality in a separable real Hilbert space. As an application we prove the Strong Law of Large Numbers for Gaussian functionals with values in a separable real Banach space.
