A description of relatively (p; r)-compact sets
2012 ◽
Vol 16
(2)
◽
pp. 227-232
Keyword(s):
We introduce the notion of (p; r)-null sequences in a Banach space and we prove a Grothendieck-like result: a subset of a Banach space is relatively (p; r)-compact if and only if it is contained in the closed convex hull of a (p; r)-null sequence. This extends a recent description of relatively p-compact sets due to Delgado and Piñeiro, providing to it an alternative straightforward proof.
Keyword(s):
2005 ◽
Vol 71
(3)
◽
pp. 425-433
◽
Keyword(s):
2020 ◽
Vol 63
(2)
◽
pp. 475-496
Keyword(s):
1976 ◽
Vol 80
(2)
◽
pp. 269-276
◽
Keyword(s):
1996 ◽
Vol 54
(1)
◽
pp. 27-33
◽
Keyword(s):
2014 ◽
Vol 58
(2)
◽
pp. 441-444
1977 ◽
Vol 29
(5)
◽
pp. 963-970
◽
Keyword(s):
1996 ◽
Vol 54
(1)
◽
pp. 87-97
◽
Keyword(s):