Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415257 | Journal of Functional Analysis | 2012 | 21 Pages |
Abstract
Consider an infinite-dimensional linear space equipped with a Gaussian measure and the group GLO(â) of linear transformations that send the measure to equivalent one. Limit points of GLO(â) can be regarded as 'spreading' maps (polymorphisms). We show that the closure of GLO(â) in the semigroup of polymorphisms contains a certain semigroup of operator colligations and write explicit formulas for action of operator colligations by polymorphisms of the space with Gaussian measure.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yury Neretin,