Linear functionals on Orlicz sequence spaces without local convexity.
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Nowak, Marian (1992)
International Journal of Mathematics and Mathematical Sciences
R. Lashkaripour, D. Foroutannia (2009)
Czechoslovak Mathematical Journal
In this paper we consider some matrix operators on block weighted sequence spaces . The problem is to find the lower bound of some matrix operators such as Hausdorff and Hilbert matrices on . This study is an extension of papers by G. Bennett, G.J.O. Jameson and R. Lashkaripour.
Foroutannia, D., Lashkaripour, R. (2007)
Lobachevskii Journal of Mathematics
Anna Novikova (2014)
Studia Mathematica
A generalization of the Lyapunov convexity theorem is proved for a vector measure with values in a Banach space with unconditional basis, which is q-concave for some q < ∞ and does not contain any isomorphic copy of l₂.
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