Weak sequential convergence in the dual of compact operators between Banach lattices
Keyword(s):
For several Banach lattices E and F, if K(E,F) denotes the space of all compact operators from E to F, under some conditions on E and F, it is shown that for a closed subspace M of K(E,F), M* has the Schur property if and only if all point evaluations M1(x) = {Tx : T ? M1} and ~M1(y*) = {T* y* : T ? M1} are relatively norm compact, where x ? E, y* ? F* and M1 is the closed unit ball of M.
2010 ◽
Vol 110A
(1)
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pp. 1-11
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2004 ◽
Vol 77
(1)
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pp. 91-110
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Keyword(s):
2010 ◽
Vol 110
(-1)
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pp. 1-11
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1994 ◽
Vol 25
(1)
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pp. 49-56
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1979 ◽
Vol 34
(4)
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pp. 287-320
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1995 ◽
Vol 47
(4)
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pp. 673-683
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2007 ◽
Vol 11
(1)
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pp. 143-150
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1983 ◽
Vol 26
(2)
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pp. 163-167
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Keyword(s):
1995 ◽
Vol 58
(2)
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pp. 222-231