ON THE FRECHET DIFFERENTIABILITY OF LUXEMBURG NORM IN THE SEQUENCE SPACES l^{p_n} WITH VARIABLE EXPONENTS
It is shown that the Luxemburg norm in the sequence space l^{(p_n)} with variable exponents is Frechet - differentiable and a formula expressing the Frechet derivative of this norm at any nonzero x ∈ l^{(p_n)} is given.
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| Format: | Article |
| Language: | English |
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Conspress
2014-09-01
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| Series: | Romanian Journal of Mathematics and Computer Science |
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| Online Access: | http://www.rjm-cs.ro/Matei2014.pdf |