The dual of the sequence spaces with mixed norms $$l^{(p, \infty )}$$ l ( p , ∞ )

Autor: J. Lang, O. Méndez
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Arabian Journal of Mathematics, Vol 12, Iss 2, Pp 413-421 (2023)
Druh dokumentu: article
ISSN: 2193-5343
2193-5351
DOI: 10.1007/s40065-023-00421-4
Popis: Abstract We identify a norm-dense subspace of the dual of the sequence space $$l^{(p,\infty )}$$ l ( p , ∞ ) , thus closing the existing gap in the literature. We based our approach on the notion of James orthogonality, absolutely continuous norms and on the uniform convexity and the uniform smoothness of the underlying subspaces.
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