Complementation of the subspace of G-invariant vectors
2016 ◽
Vol 16
(07)
◽
pp. 1750124
◽
Keyword(s):
Let [Formula: see text] be an isometric representation of a group [Formula: see text] in a Banach space [Formula: see text] over a normalizing non-discrete absolute valued division ring [Formula: see text]. If [Formula: see text] and [Formula: see text] are supportive and [Formula: see text] verifies the separation property, then [Formula: see text] is 1-complemented in [Formula: see text] along [Formula: see text]. As an immediate consequence, in an isometric representation of a group in a smooth Banach space whose dual is also smooth, the subspace of [Formula: see text]-invariant vectors is [Formula: see text]-complemented.
Keyword(s):
2006 ◽
Vol 2006
◽
pp. 1-14
◽
Keyword(s):
2003 ◽
Vol 2003
(6)
◽
pp. 353-365
◽
2015 ◽
Vol 421
(1)
◽
pp. 747-753
◽
Keyword(s):
2015 ◽
Vol 2015
(1)
◽
1992 ◽
Vol 114
(4)
◽
pp. 1003-1003
Keyword(s):
1992 ◽
Vol 114
(4)
◽
pp. 1003
◽
2013 ◽
Vol 333-335
◽
pp. 1402-1405