Journal of Multivariate Analysis, 1991 The present paper deals with an infinite-dimensional linear model \(\hat Z=Z_ 0(\hat f)+Y\) where \(\hat f: \Omega \to B_ 1\) and \(Y: \Omega \to B_ 2\) denote symmetric Gaussian random variables with values in separable Banach spaces \(B_ i\). Let \(Z_ 0 : B_ 1\to B_ 2\) denote a linear operator.
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