Continuous Operators for Unbounded Convergence in Banach Lattices
Mathematics, 2022 Recently, continuous functionals for unbounded order (norm, weak and weak*) in Banach lattices were studied. In this paper, we study the continuous operators with respect to unbounded convergences.
Zhangjun Wang, Zili Chen
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A Characterization of Discrete Banach Lattices with Order Continuous Norms [PDF]
Proceedings of the American Mathematical Society, 1988 We give a characterization of those σ \sigma
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Disjointly non-singular operators on order continuous Banach lattices complement the unbounded norm topology [PDF]
Journal of Mathematical Analysis and Applications, 2022 In this article we investigate the disjointly non-singular (DNS) operators. Following [8] we say that an operator $T$ from a Banach lattice $F$ into a Banach space $E$ is DNS, if no restriction of $T$ to a subspace generated by a disjoint sequence is strictly singular.
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Statistical Ergodic Theorem in Symmetric Spaces for Infinite Measures
Современная математика: Фундаментальные направления, 2021 Let (Ω,μ) be a measurable space with σ -finite continuous measure, μ(Ω)=∞. A linear operator T:L1(Ω)+L∞(Ω)→L1(Ω)+L∞(Ω) is called the Dunford-Schwartz operator if ||T(f)||1||f||1 (respectively, ||T(f)||∞||f||∞) for all f∈L1(Ω) (respectively, f∈L∞(Ω)). {Tt}
A. S. Veksler, V. I. Chilin
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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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A Piecewise Linear Programming Algorithm for Sparse Signal Reconstruction
Tsinghua Science and Technology, 2017 In order to recover a signal from its compressive measurements, the compressed sensing theory seeks the sparsest signal that agrees with the measurements, which is actually an l0 norm minimization problem.
Kuangyu Liu +3 more
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Complexity theory for spaces of integrable functions [PDF]
Logical Methods in Computer Science, 2017 This paper investigates second-order representations in the sense of Kawamura and Cook for spaces of integrable functions that regularly show up in analysis. It builds upon prior work about the space of continuous functions on the unit interval: Kawamura
Florian Steinberg
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PDα-type iterative learning control with initial state learning for fractional-order systems
Xibei Gongye Daxue Xuebao, 2021 In order to eliminate the influence of the arbitrary initial state on the systems, open-loop and open-close-loop PDα-type fractional-order iterative learning control (FOILC) algorithms with initial state learning are proposed for a class of fractional ...
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Fractional order PDα-type ILC for linear continuous time-delay switched system with disturbance measurement and uncertainties noise [PDF]
Journal of HyperstructuresThis study investigates the efficacy of a novel PDα-type fractional-order iterative learning control (FOILC) approach for a class of fractional-order linear continuous-time delaying switched systems.
Omprakash Dewangan
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Fertility preservation (FP) is increasingly integrated into the care of pediatric patients exposed to gonadotoxic therapy or conditioning for hematopoietic stem cell transplantation (HSCT), yet perioperative data in infants and toddlers remain scarce.
Kerstin Saalabian +13 more
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