Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415186 | Journal of Functional Analysis | 2014 | 37 Pages |
Abstract
In this paper we extend the spectral gap comparison theorem of Andrews and Clutterbuck (2011) [2] to the infinite dimensional setting. More precisely, we prove that the spectral gap of Schrödinger operator âLâ+V (Lâ is the Ornstein-Uhlenbeck operator) on an abstract Wiener space is greater than that of the one-dimensional operator âd2ds2+sdds+VË(s), provided that VË is a modulus of convexity for V. Similar result is established for the diffusion operator âLâ+âFâ â.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Fu-Zhou Gong, Yong Liu, Yuan Liu, De-Jun Luo,