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© Hindawi Publishing Corp. ON THE SUBLINEAR OPERATORS FACTORING THROUGH Lq
, 2003 Let 0 <p ≤ q ≤+∞.LetTbe a bounded sublinear operator from a Banach space X into an Lp(Ω,µ) and let ∇T be the set of all linear operators ≤ T. In the present paper, we will show the following. Let C be a positive constant. For all u in ∇T, Cpq(u) ≤ C (
Abdelmoumene Tiaiba, Lahcène Mezrag
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A description of Banach space-valued Orlicz hearts
Open Mathematics, 2010 Labuschagne Coenraad, Offwood Theresa
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Some problems on narrow operators on function spaces
Open Mathematics, 2014 Popov Mikhail +2 more
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On order structure and operators in L ∞(μ)
Open Mathematics, 2009 Krasikova Irina +4 more
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Some results on b-AM-compact operators
Quaestiones Mathematicae, 2018 We show that for positive operator B : E → E on Banach lattices, if there exists a positive operator S : E → E such that:1.SB ≤ BS;2.S is quasinilpotent at some x0 > 0; 3.S dominates a non-zero b-AM-compact operator, then B has a non-trivial closed ...
Cheng, Na
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Weak compactness of almost L-weakly and almost M-weakly compact operators
Quaestiones Mathematicae, 2021Khalid Bouras, Aziz Elbour
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Banach lattices with property $(H)$ and weak Hilbert spaces
Illinois Journal of Mathematics, 1992N Tomczak-Jaegermann
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Lattice structures of ordered Banach algebras
Illinois Journal of Mathematics, 1992Hermann Render
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