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Closure Operation on Lattice.

open access: yesClosure Operation on Lattice.
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Lipschitz p-lattice summing operators

Advances in Operator Theory, 2021
The authors define the concept of Lipschitz \(p\)-lattice summing operators as a natural generalization of the concept of \(p\)-lattice summing linear operators. The Lipschitz \(p\)-lattice summing operators satisfies the left ideal property, thus this class is not an ideal in the sense of \textit{D.~Achour} et al. [J. Math. Anal. Appl. 436, No.~1, 217-
Maamra, A., Mezrag, L., Tallab, A.
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p-Lattice Summing Operators

Mathematische Nachrichten, 1984
We study the spaces \(\Lambda_ p(E,X)\) of p-lattice summing operators from a Banach space E to a Banach lattice X. The main results characterize those E and X for which \(\Lambda_ p(E,X)=\Pi_ p(E,X)\) and we show that \(\Lambda_{\infty}(E,X)=\Lambda_ 2(E,X)\) for an infinite dimensional Banach lattice X of finite cotype if and only if E is isomorphic ...
Nielsen, N. J., Szulga, J.
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Lattice operators underlying dynamic systems

Set-Valued Analysis, 1996
The authors describe algebraic and continuity properties of increasing set operators underlying dynamic systems. By an operator, they mean a mapping of a complete lattice into itself. The authors investigate set operators defined on a complete lattice induced by a differential equation or differential inclusion, namely, the reachable map, the exit tube,
Mattioli, Juliette   +2 more
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