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	Spectral gaps of Schrodinger operators and diffusion operators on abstract Wiener spaces
	Gong, Fu-Zhou ; Liu, Yong ; Liu, Yuan ; Luo, De-Jun
	2014
关键词	Spectral gap Schrodinger operator Abstract Wiener space Min-max principle Malliavin calculus
英文摘要	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 Schrodinger operator -L-* + V (L-* is the Ornstein-Uhlenbeck operator) on an abstract Wiener space is greater than that of the one-dimensional operator -d(2)/ds(2) + s d/ds + (V) over tilde (s), provided that (V) over tilde is a modulus of convexity for V. Similar result is established for the diffusion operator -L-* + del F . del. (C) 2014 Elsevier Inc. All rights reserved.; Mathematics; SCI(E); 1; ARTICLE; liuyuan@amss.ac.cn; 9; 5639-5675; 266
语种	英语
出处	SCI
出版者	journal of functional analysis
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/213647]
专题	数学科学学院
推荐引用方式 GB/T 7714	Gong, Fu-Zhou,Liu, Yong,Liu, Yuan,et al. Spectral gaps of Schrodinger operators and diffusion operators on abstract Wiener spaces. 2014-01-01.

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