Results 1 to 10 of about 47,746 (252)
Property (h) of Banach Lattice and Order-to-Norm Continuous Operators
Mathematics, 2023 In this paper, we introduce the property (h) on Banach lattices and present its characterization in terms of disjoint sequences. Then, an example is given to show that an order-to-norm continuous operator may not be σ-order continuous.
Fu Zhang, Hanhan Shen, Zili Chen
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Some properties of weak Banach-Saks operators [PDF]
Mathematica Bohemica, 2021 We establish necessary and sufficient conditions under which weak Banach-Saks operators are weakly compact (respectively, {\rm L}-weakly compact; respectively, {\rm M}-weakly compact).
Othman Aboutafail +2 more
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On regular operators on Banach Lattices
Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023 Let E and F be Banach lattices and X and Y be Banach spaces. A linear operator T:E->F is called regular if it is the difference of two positive operators. We show that F has a b-property if and only if Lr(E,F) has b-property.
Omer Gok
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Formal balls of Q-categories [PDF]
Categories and General Algebraic Structures with Applications, 2023 The construction of the formal ball model for metric spaces due to Edalat and Heckmann was generalized to Q-categories by Kostanek and Waszkiewicz, where Q is a commutative and unital quantale.
Xianbo Yang, Dexue Zhang
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Two sharp inequalities for operators in a Hilbert space
Researches in Mathematics, 2022 In this paper we obtained generalisations of the L. V. Taikov’s and N. Ainulloev’s sharp inequalities, which estimate a norm of function's first-order derivative (L. V. Taikov) and a norm of function's second-order derivative (N.
N.O. Kriachko
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A Priori and a Posteriori Error Analysis for Generic Linear Elliptic Problems
Tikrit Journal of Pure Science, 2022 In this paper, a priori error analysis has been examined for the continuous Galerkin finite element method which is used for solving a generic scalar and a generic system of linear elliptic equations.
Hala Raad, Mohammad Sabawi
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On the Lattice Properties of Almost L-Weakly and Almost M-Weakly Compact Operators
Journal of Function Spaces, 2021 We establish the domination property and some lattice approximation properties for almost L-weakly and almost M-weakly compact operators. Then, we consider the linear span of positive almost L-weakly (resp., almost M-weakly) compact operators and give ...
Barış Akay, Ömer Gök
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Solution for Second-Order Differential Equation Using Least Square Method
Eurasian Journal of Science and Engineering, 2022 This paper studies the numerical method for solving differential equations. The continuous least square method (CLSM) is used to obtain the explicit solution for solving ordinary differential equations (ODEs), partial differential equations (PDEs), and ...
Salisu Ibrahim, Abdulnasir Isah
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On linear sections of orthogonally additive operators
Математичні Студії, 2022 Our first result asserts that, for linear regular operators acting from a Riesz space with the principal projection property to a Banach lattice with an order continuous norm, the $C$-compactness is equivalent to the $AM$-compactness. Next we prove that,
A. Gumenchuk, I. Krasikova, M. Popov
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Beyond ℓ1 sparse coding in V1.
PLoS Computational Biology, 2023 Growing evidence indicates that only a sparse subset from a pool of sensory neurons is active for the encoding of visual stimuli at any instant in time.
Ilias Rentzeperis +3 more
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