The Structure of the Sequence Spaces of Maddox
1992 ◽
Vol 44
(2)
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pp. 298-307
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AbstractThe sequence of spaces of Maddox, c0(p), c(p)and l∞(p), are investigated. Here, p — (pk) is a bounded sequence of strictly positive numbers. It is observed that C0(P) is an echelon space of order 0 and that l∞(p) is a co-echelon space of order ∞, while clearly c(p) = c0(p) ⊗ 〈 (1,1,1,…) 〉. This sheds a new light on the topological and sequence space structure of these spaces: Based on the highly developed theory of (co-) echelon spaces all known and various new structural properties are derived.
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2003 ◽
Vol 2003
(57)
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pp. 3599-3607
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2001 ◽
Vol 28
(1)
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pp. 9-23
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1986 ◽
Vol 100
(1)
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pp. 151-159
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1993 ◽
Vol 113
(2)
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pp. 329-334
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1984 ◽
Vol 27
(2)
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pp. 105-113
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