Some results concerning frames in Banach spaces
2007 ◽
Vol 38
(3)
◽
pp. 267-276
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Keyword(s):
A necessary and sufficient condition for the associated sequence of functionals to a complete minimal sequence to be a Banach frame has been given. We give the definition of a weak-exact Banach frame, and observe that an exact Banach frame is weak-exact. An example of a weak-exact Banach frame which is not exact has been given. A necessary and sufficient condition for a Banach frame to be a weak-exact Banach frame has been obtained. Finally, a necessary condition for the perturbation of a retro Banach frame by a finite number of linearly independent vectors to be a retro Banach frame has been given.
2006 ◽
Vol 04
(03)
◽
pp. 559-565
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2014 ◽
Vol 12
(02)
◽
pp. 1450015
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2009 ◽
Vol 07
(01)
◽
pp. 1-7
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2010 ◽
Vol 08
(02)
◽
pp. 243-252
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1987 ◽
Vol 10
(4)
◽
pp. 671-692
◽
2012 ◽
Vol 22
(06)
◽
pp. 1250052
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