Results 21 to 30 of about 10,258 (191)
L-Dunford–Pettis and Almost L-Dunford–Pettis Sets in Dual Banach Lattices
International Journal of Analysis and Applications, 2018 Following the concept of L–limited sets in dual Banach spaces introduced by Salimi and Moshtaghioun, we introduce the concepts of L–Dunford–Pettis and almost L–Dunford–Pettis sets in dual Banach lattices and then by a class of operators on Banach ...
Halimeh Ardakani, Manijeh Salimi
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A description of the Stone space of Banach lattice C(K,E)
Journal of Function Spaces and Applications, 2006 We give a topological description of the Stone space of C(K,E), Banach lattices of continuous functions from a compact Hausdorff space K into a Banach lattice E.
Zafer Ercan
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Martingale-like sequences in Banach lattices
Modern Stochastics: Theory and Applications, 2018 Martingale-like sequences in vector lattice and Banach lattice frameworks are defined in the same way as martingales are defined in [Positivity 9 (2005), 437–456].
Haile Gessesse, Alexander Melnikov
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Normality of spaces of operators and quasi-lattices
, 2015 We give an overview of normality and conormality properties of pre-ordered Banach spaces. For pre-ordered Banach spaces $X$ and $Y$ with closed cones we investigate normality of $B(X,Y)$ in terms of normality and conormality of the underlying spaces $X ...
Messerschmidt, Miek
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Renorming Dual Banach Lattices [PDF]
Proceedings of the American Mathematical Society, 1982 We show that a Banach lattice is order continuous as well as its dual if and only if it admits an equivalent Fréchet differentiable and locally uniformly convex lattice norm such that its dual norm is also locally uniformly convex.
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Property (T) and rigidity for actions on Banach spaces
, 2005 We study property (T) and the fixed point property for actions on $L^p$ and other Banach spaces. We show that property (T) holds when $L^2$ is replaced by $L^p$ (and even a subspace/quotient of $L^p$), and that in fact it is independent of $1\leq ...
A. Connes +59 more
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Lattice embeddings in free Banach lattices over lattices
Mathematical Inequalities & Applications, 2022 In this article we deal with the free Banach lattice generated by a lattice and its behavior with respect to subspaces. In general, any lattice embedding $i\colon \mathbb{L} \longrightarrow \mathbb{M}$ between two lattices $\mathbb{L} \subseteq \mathbb{M}$ induces a Banach lattice homomorphism $\hat \imath\colon FBL \langle \mathbb{L} \rangle ...
Avilés, Antonio +3 more
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Free and projective Banach lattices [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2015 We define and prove the existence of free Banach lattices in the category of Banach lattices and contractive lattice homomorphisms, and establish some of their fundamental properties. We give much more detailed results about their structure in the case when there are only a finite number of generators, and give several Banach lattice characterizations ...
Wickstead, Anthony, de Pagter, Ben
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On the Quotients of Regular Operators
Universal Journal of Mathematics and Applications, 2019 We give some results about quotients of regular operators on Banach lattices by the linear span of the positive M-weakly and positive L-weakly compact operators.
Erdal Bayram +1 more
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On the positive Dimant strongly $p$-summing multilinear operators
Karpatsʹkì Matematičnì Publìkacìï, 2020 In 2003, Dimant V. has defined and studied the interesting class of strongly $p$-summing multilinear operators. In this paper, we introduce and study a new class of operators between two Banach lattices, where we extend the previous notion to the ...
A. Bougoutaia, A. Belacel, H. Hamdi
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