Results 1 to 10 of about 45,244 (248)
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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The Order Continuity of the Regular Norm on Regular Operator Spaces [PDF]
Abstract and Applied Analysis, 2013 We present here some sufficient conditions for the regular norm on to be order continuous, and for () to be a KB-space. In particular we deduce a characterization of the order continuity of the regular norm using L- and M-weak compactness of regular ...
Zi Li Chen, Ying Feng, Jin Xi Chen
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Unbounded order-norm continuous and unbounded norm continuous operator
Filomat, 2021 A continuous operator T between two normed vector lattices E and F is called unbounded order-norm continuous whenever x? uo? 0 implies ||Tx?|| ? 0, for each norm bounded net (x?)? ? E. Let E and F be two Banach lattices. A continuous operator T : E ? F is called unbounded norm continuous, if for each norm bounded net (x?)? ? E, x? un?
Kazem Azar, Mina Matin, Razi Alavizadeh
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On order isomorphisms of norm attainment sets of continuous functions
Acta Mathematica HungaricaAbstract We provide a method for reconstructing the underlying locally compact Hausdorff space of an algebra of continuous functions vanishing at infinity, using the norm attainment sets of continuous functions. As an application, it is demonstrated that an order isomorphism of norm attainment sets between spaces of continuous functions ...
Igarashi, K. +3 more
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Computers and Mathematics With Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liang, Jin, Xiao, Tijun
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IEEE AccessThis study presents the development and examination of a streamlined $H_{\infty }$ loop-shaping continuous-time controller tailored for nonlinear Hard Disk Drive (HDD) systems.
Ibrahim Shaikh +3 more
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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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The Class of Demi-Order Norm Continuous Operators
Gazi University Journal of Science, 2023 In this paper, we introduce the class of demi-order norm continuous operator on a normed Riesz space. We study the relationship between order-to-norm continuous operator and demi-order norm continuous operator. We also investigate some properties of the class of demi-order norm continuous operator, and it is given a characterization of a normed Riesz ...
Gül Sinem KELEŞ, Birol ALTIN
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