Projective descriptions of the (LF)-spaces of type LB(λp(A), F)
2003 ◽
Vol 75
(2)
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pp. 163-180
AbstractLet 1 < p < + ∞ or p = 0 and let A = (an)n be an increasing sequence of strictly positive weights on I. Let F be a Fréchet space. It is proved that if λp(A) satisfies the density condition of Heinrich and a certain condition (Ct) holds, then the (LF)-space LBi(λp(A), F) is a topological subspace of Lb(λp(A), F). It is also proved that these conditions are necessary provided F = λq(A) or F contains a complemented copy of Iq with 1 < p ≤ q < +∞.
1996 ◽
Vol 54
(2)
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pp. 299-307
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1992 ◽
Vol 35
(2)
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pp. 271-283
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1991 ◽
Vol 34
(2)
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pp. 169-178
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Keyword(s):
2015 ◽
Vol 12
(07)
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pp. 1550072
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Keyword(s):
2009 ◽
Vol 354
(2)
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pp. 641-647
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1975 ◽
Vol 27
(5)
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pp. 1110-1113
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1990 ◽
Vol 117
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pp. 207-225
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