A Note on Spectral Sublinearity for Collections of Positive Compact Operators on Banach Lattices
Special Matrices, 2018 In this paper we consider the question when a triangularizable semigroup S of positive compact ideal-triangularizable operators on an order continuous Banach lattice X is ideal-triangularizable.
Kandić M.
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Supporting weakly Pareto optimal allocations in infinite dimensional nonconvex economies [PDF]
In this paper, we prove a new version of the Second Welfare Theorem for economies with a finite number of agents and an infinite number of commodities, when the preference correspondences are not convex-valued and/or when the total production set is not ...
Monique Florenzano +2 more
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Some properties of positive weak Dunford-Pettis operators on Banach lattices
, 2009 We characterize Banach lattices for which each positive weak Dunford-Pettis operator is weakly compact. As consequences, we obtain some interesting results on reflexive Banach lattices.
Khalid Bourass, Belmesnaoui Aqzzouz
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Monotonicity and rotundity properties in banach lattices
, 2000 Some general results on geometry of Banach lattices are given. It is shown among others that uniform rotundity or rotundity coincide to uniform or strict monotonicity, respectively, on order intervals in positive cones of Banach lattices.
Mastyło, M., Kamińska, A., Hudzik, H.
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Characterization of Banach Lattices in Terms of Quasi-Interior Points
International Journal of Mathematics and Mathematical Sciences, 2013 In terms of quasi-interior points, criteria that a Banach lattice has order continuous norm or is an -space with a unit are given. For example, if is Dedekind complete and has a weak order unit, then has order continuous norm if and only if the set of
Egor A. Alekhno
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Banach lattices with properties of dunford- pettis type
, 2018 This paper is devoted to relationships between weakly compact operators and M- weakly compact (L-weakly compact) operators acting from (resp. into) Banach lattices.
Sánchez Henríquez, José A.
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An amalgamation of the Banach spaces associated with James and Schreier, Part I : Banach-space structure. [PDF]
, 2010 We create a new family of Banach spaces, the James-Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach-Saks property
Alistair Bird +3 more
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(L) Sets and almost (L) seys in Banach lattices
, 2013 We characterize (L) sets and almost (L) sets in Banach lattices. Also, we look at Banach lattices in which these two classes of sets coincide.Keywords: (L) sets, Dunford-Pettis operator, almost Dunford-Pettis operatorQuaestiones Mathematicae 36(2013 ...
Aqzzouz, Belmesnaoui, Bouras, Khalid
core
Embeddings of Banach Spaces Into Banach Lattices and the Gordon–Lewis Property
Positivity, 2001 32 pages ...
Nielsen, Niels Jørgen +1 more
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Differential inclusions of arbitrary fractional order with anti-periodic conditions in Banach spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, we establish various existence results of solutions for fractional differential equations and inclusions of arbitrary order $q\in (m-1,m)$, where $m$ is an arbitrary natural number greater than or equal to two, in infinite dimensional ...
JinRong Wang +2 more
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