Results 41 to 50 of about 135,605 (213)
Albanian Journal of Natural and Technical Sciences, 2023 It is widely recognized that the McShane integral of real-valued functions, a Riemann-type integral, is equivalent to the Lebesgue integral. Building on this foundational equivalence, McShane's unique approach to Lebesgue's integration theory has since ...
Mimoza Shkëmbi, John Shkëmbi
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Curved RUM spectra of periodic frameworks
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract The rigid unit mode (RUM) spectrum records the phases at which a periodic (or crystal) framework admits a phase‐periodic infinitesimal motion. This plays a central role in the geometric rigidity of crystal frameworks, with applications in crystallography and materials science.
Antonio Acuaviva +3 more
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Convergence of Submartingales in Banach Lattices
The Annals of Probability, 1976 We discuss analogues of Doob's convergence theorem for submartingales with values in Banach lattices with the Radon-Nikodym property.
Szulga, Jerzy, Woyczynski, Wojbor A.
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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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On the lower semi-continuity of the set valued metric projection
International Journal of Mathematics and Mathematical Sciences, 1992 The lower semi-continuity of best approximation operators from Banach lattices on to closed ideals is investigated. Also the existence of best approximation to sub-function modules of function modules is proved. The order intersection properties of cells
Fowzi Ahmad Sejeeni
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Tilings and coverings by balls in ℓ1$\ell _1$
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract A famous result of Klee from 1981 is that the Banach space ℓ1(κ)$\ell _1(\kappa)$ admits a disjoint tiling by balls of radius 1, for all cardinals κ$\kappa$ with κℵ0=κ$\kappa ^{\aleph _0} =\kappa$. Klee also observed that the smallest cardinal in which such a tiling might exist is κ=2ℵ0$\kappa = 2^{\aleph _0}$, leaving open the question ...
Carlo Alberto De Bernardi +3 more
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Journal of Applied Mathematics, 2013 We investigate the connections between vector variational inequalities and ordered variational inequalities in finite dimensional real vector spaces.
Linsen Xie, Jinlu Li, Wenshan Yang
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Self‐consistent transfer operators for heterogeneous coupled maps
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We investigate the dynamics of large heterogeneous network dynamical systems composed of nonlocally coupled chaotic maps. We show that the mean‐field limit of such systems is governed by a suitably defined Self‐consistent Transfer Operator (STO) acting on measures, describing the infinite‐size limits of dense graphs as graphons, thereby ...
Herbert M. C. Maquera +2 more
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Monotone gradients on Banach lattices [PDF]
Proceedings of the American Mathematical Society, 1986 It is well known that a differentiable real valued function on the real line is convex iff its derivative is nondecreasing. This characterization of differentiable convex functions does not extend if the domain of the function is a Banach lattice of
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Amenability Constants for Unconditional Sums of Banach Algebras
Mathematische Nachrichten, Volume 299, Issue 9, Page 2472-2494, September 2026.ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
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