Authors
Citation
R. Wittmann, ALMOST EVERYWHERE CONVERGENCE OF ERGODIC AVERAGES OF NONLINEAR OPERATORS, Journal of functional analysis, 127(2), 1995, pp. 326-362
Citations number
16
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
ISSN journal
00221236
Volume
127
Issue
2
Year of publication
1995
Pages
326 - 362
Database
ISI
SICI code
0022-1236(1995)127:2<326:AECOEA>2.0.ZU;2-Z
Abstract
For order preserving mappings T, which are nonexpansive in L1 and L(in
finity), two principal, mutually equivalent results are shown. The alm
ost everywhere convergence of (T(n)f/n) (primarily of interest if T0 n
ot-equal 0) and of the ergodic averages S(n)f/(n + 1)), where S0f = f,
S(n + 1)f = f + TS(n)f. (C) 1995 Academic Press, Inc.