Measures on infinite dimensional Grassmann manifolds
type: Item
instance of: scholarly article
title: Measures on infinite dimensional Grassmann manifolds
zbMATH Open document ID: 0621.28008
DOI: 10.1016/0022-1236(87)90116-9
author: Doug Pickrell
published in: Journal of Functional Analysis
publication date: 1987-01-01T00:00:00Z
review text: The author presents a 1-parameter family of quasi-invariant measures, which are cylinder measures in graph coordinates on the Hilbert-Schmidt Grassmannian of an infinite-dimensional Hilbert space. Their characteristic functions are represented as integrals relative to an infinite product measure. Then, using the Grass-Sazonov theorem, the author finds support properties of the measures. One of the measures can be used to define the unitary structure for the basic representation of the affine extension of the restricted unitary group.
reviewed by: P.Raboin
Mathematics Subject Classification ID: 28C20
Mathematics Subject Classification ID: 46G12
zbMATH DE Number: 4006589
zbMATH Keywords: characteristic function
zbMATH Keywords: support of a measure
zbMATH Keywords: quasi-invariant measures
zbMATH Keywords: cylinder measures
zbMATH Keywords: Hilbert-Schmidt Grassmannian
zbMATH Keywords: infinite product measure
MaRDI profile type: Publication
full work available at URL: 0022-1236(87)90116-9
OpenAlex ID: W2030407005
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description: scientific article; zbMATH DE number 4006589