Matrix transformations of some vector-valued sequence spaces
Necessary and sufficient conditions-have been established for an infinite matrix A = (fnk) of continuous linear functionals on a Banach space X to transform the vector-valued sequence spaces of Maddox l ∞ (X, p), l (X, p), c0(X, p), and c(X, p) into the scalar-valued sequence space c(q), where p = (...
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| Format: | Article |
| Language: | English |
| Published: |
2014
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| Online Access: | http://www.scopus.com/inward/record.url?eid=2-s2.0-26844536940&partnerID=40&md5=a79b42211f44cc11e81b754bab8bed5e http://cmuir.cmu.ac.th/handle/6653943832/6110 |
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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | Necessary and sufficient conditions-have been established for an infinite matrix A = (fnk) of continuous linear functionals on a Banach space X to transform the vector-valued sequence spaces of Maddox l ∞ (X, p), l (X, p), c0(X, p), and c(X, p) into the scalar-valued sequence space c(q), where p = (pk) and q = (q k) are bounded sequences of positive real numbers. |
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