Results 61 to 70 of about 321 (179)
An absolute continuity for positive operators on Banach lattices
International Journal of Mathematics and Mathematical Sciences, 1991 For positive operators on a Banach lattice, absolute contnuity conditions are considered. An operator absolutely continuous with respect to T is compared to sums of compositions of T together with orthomorphisms or in special cases projections ...
W. Feldman +2 more
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Lattice Ordering on Banach Spaces [PDF]
Proceedings of the American Mathematical Society, 1952 the American Mathematical Society vol. 3 (1952) pp. 821-828. 2. Nils Sjoberg, Sur les minorantes sousharmoniques d'une fonction donnee, Proceedings of the Ninth Scandanavian Mathematical Congress, Helsingfors, 1938, pp. 309-319. 3. Marcel Brelot, Minorantes sous-harmoniques, extremales et capacites, J. Math. Pures Appl. (9) vol. 24 (1945) pp. 1-32.
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A Choquet theory of Lipschitz‐free spaces
Proceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.Abstract Let (M,d)$(M,d)$ be a complete metric space and let F(M)$\mathcal {F}({M})$ denote the Lipschitz‐free space over M$M$. We develop a ‘Choquet theory of Lipschitz‐free spaces’ that draws from the classical Choquet theory and the De Leeuw representation of elements of F(M)$\mathcal {F}({M})$ (and its bi‐dual) by positive Radon measures on βM ...
Richard J. Smith
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Extracta Mathematicae, 2018 We obtained a generalization of the stability of some Banach lattice-valued functional equation with the addition replaced in the Cauchy functional equation by lattice operations and their combinations.
Nutefe Kwami Agbeko, Patrícia Szokol
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The Köthe Dual of an Abstract Banach Lattice
Journal of Function Spaces and Applications, 2013 We analyze a suitable definition of Köthe dual for spaces of integrable functions with respect to vector measures defined on δ-rings. This family represents a broad class of Banach lattices, and nowadays it seems to be the biggest class of spaces ...
E. Jiménez Fernández +2 more
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Plank theorems and their applications: A survey
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
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The Normalized Prabhakar Fractional Operator’s Boundedness Across Various Spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.A functional space called the Bloch space is made up of analytic functions on the unit disk in the complex plane. These functions provide a number of benefits and intriguing characteristics, as well as meeting specific growth requirements. In this notice, the boundedness of certain fractional integral operator in a class of Bloch spaces is investigated.
Rabha W. Ibrahim, Shikha Binwal
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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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The class of Banach lattices is not primary
Forum of Mathematics, SigmaBuilding on a recent construction of Plebanek and Salguero-Alarcón, which solved the Complemented Subspace Problem for $C(K)$ -spaces, and the subsequent work of De Hevia, Martínez-Cervantes, Salguero-Alarcón, and Tradacete solving the Complemented
Antonio Acuaviva
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Pareto optimality for nonlinear infinite dimensional control systems
International Journal of Mathematics and Mathematical Sciences, 1990 In this note we establish the existence of Pareto optimal solutions for nonlinear, infinite dimensional control systems with state dependent control constraints and an integral criterion taking values in a separable, reflexive Banach lattice.
Evgenios P. Avgerinos +1 more
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