A characterization of Gaussian spaces

J. S. Rao and James B. Robertson

Journal of Multivariate Analysis, 1980, vol. 10, issue 4, 599-602

Abstract: A characterization of Gaussian subspaces of L2 is given. It is shown that Gaussian subspaces are essentially characterized by the property that all linear isometries are induced by measure-preserving transformations.

Keywords: Gaussian; ergodic; measure-preserving; special; analysis; characterization (search for similar items in EconPapers)
Date: 1980
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