Authors
Citation
P. Mankiewicz, Compact groups of operators on subproportional quotients of l(1)(m), CAN J MATH, 52(5), 2000, pp. 999-1017
Citations number
19
Categorie Soggetti
Mathematics
Journal title
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
ISSN journal
0008414X
→ ACNP
Volume
52
Issue
5
Year of publication
2000
Pages
999 - 1017
Database
ISI
SICI code
0008-414X(200010)52:5<999:CGOOOS>2.0.ZU;2-J
Abstract
It is proved that a "typical" n-dimensional quotient X-n of l(1)(m) with n
= m(sigma), 0 < sigma < 1, has the property
Average
[GRAPHICS]
for every compact group G of operators acting on X-N, where d(G)(T) stands
for the normalized Haar measure on G and the average is taken over all extr
eme points of the unit ball of X-n. Several consequences of this estimate a
re presented.