A remark on measure preserving transformations on polish spaces and application to martingale preserving transformations

Goswami, Debashish (1998) A remark on measure preserving transformations on polish spaces and application to martingale preserving transformations Sankhya: The Indian Journal of Statistics, Series A, 60 (1). pp. 49-56. ISSN 0972-7671

Full text not available from this repository.

Official URL: http://sankhya.isical.ac.in/search/60a1/6916fnl.ht...

Abstract

Summary: We give a characterization of isometries induced by measure preserving maps on Polish spaces equipped with a probability measure and generalize a result of Attal (1995) on martingale preserving endomorphisms of Wiener space as an application, entirely by classical techniques.

Item Type:Article
Source:Copyright of this article belongs to Indian Statistical Institute.
Keywords:Measure Preserving Transformations; Isometry; Polish Spaces
ID Code:102184
Deposited On:01 Feb 2018 04:36
Last Modified:01 Feb 2018 04:36

Repository Staff Only: item control page