ON FRAME SYSTEMS IN BANACH SPACES
2009 ◽
Vol 07
(01)
◽
pp. 1-7
◽
Keyword(s):
Banach frame systems in Banach spaces have been defined and studied. A sufficient condition under which a Banach space, having a Banach frame, has a Banach frame system has been given. Also, it has been proved that a Banach space E is separable if and only if E* has a Banach frame ({φn},T) with each φn weak*-continuous. Finally, a necessary and sufficient condition for a Banach Bessel sequence to be a Banach frame has been given.
2014 ◽
Vol 12
(02)
◽
pp. 1450015
◽
2010 ◽
Vol 08
(02)
◽
pp. 243-252
◽
2019 ◽
Vol 17
(01)
◽
pp. 1850066
◽
2007 ◽
Vol 38
(3)
◽
pp. 267-276
◽
1995 ◽
Vol 38
(1)
◽
pp. 1-12
◽
1986 ◽
Vol 34
(1)
◽
pp. 87-92
2004 ◽
Vol 69
(1)
◽
pp. 1-18
◽
2005 ◽
Vol 178
◽
pp. 55-61
◽