On a local ergodic theorem forfinite-dimensional-Hilbert-space-valued functions

スポンサーリンク

概要

• 論文の詳細を見る

• We consider a Banach space of finite-dimensional-Hilbert-space-valued functions on a sigma-finite measure space. The norm of the function space is assumed to satisfy some suitable conditions. Then we prove a pointwise local ergodic theorem for a $(C 0)$-semigroup of linear contractions on the function space, under an additional norm condition for operators of the semigroup. Our result extends Baxter and Chacon's local ergodic theorem for scalar-valued functions.

• 東北大学の論文

著者

• Hasegawa Shigeru

  Depaartment Of Mathematics Faculty Oftechnology Shibaura Institute Of Technology

• Sato Ryotaro

  Department Of Mathematics Faculty Of Science Okayamauniversity

• Sato Ryotaro

  Department Of Mathematics Faculty Of Science Okayama University

関連論文

• Mean ergodic theorems for semigroups of positive linear operators
• Two local ergodic theorems on L∞
• On the ergodic properties of positive operators
• On a local ergodic theorem forfinite-dimensional-Hilbert-space-valued functions
• Ergodic theorems for semigroups of positive operators
• Ergodic theorems and weak mixing for Markov processes

スポンサーリンク