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Functional analysis and its applications
September 21, 2017
10:30–11:50
Ergodic theorems in symmetric sequence spaces
V. I. Chilin
,
A. Azizov
National University of Uzbekistan named after M. Ulugbek, Tashkent
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Abstract:
It is proved that the averages
$ \frac1n \sum_{k=0}^{n-1}T^k$
strongly converge in a symmetric sequence space
$E$
(where
$T$
is a Dunford-Schwartz operator) if and only if
$E$
is a separable space and
$E \neq l_1$
.
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