Results 11 to 20 of about 47,746 (252)
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
doaj +4 more sources
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
doaj +4 more sources
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
openaire +2 more sources
On order continuous norms [PDF]
Proceedings of the American Mathematical Society, 1999 It is shown that a normed vector lattice ( E , ‖
Leung, D, Chung, SK
openaire +2 more sources
Order-norm continuous operators and Order weakly compact operators
, 2023 Abstract Let E be a sublattice of a vector lattice F. In this paper, we will introduce and study some properties of this new class of operators as F-order-norm continuousoperators and its relationships with some known classifications of operators. We also define the new class of operators that named order weakly compact operators. A continuous
Sajjad Ghanizadeh Zare +3 more
openaire +1 more source
Convergence of delay equations driven by a Holder continuous function of order 1/3
Electronic Journal of Differential Equations, 2020 In this article we show that, when the delay approaches zero, the solution of multidimensional delay differential equations driven by a Holder continuous function of order 1 ...
Mireia Besalu +2 more
doaj +1 more source
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
doaj +1 more source
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
openaire +2 more sources
Weak Compactness of Almost Limited Operators
Journal of Function Spaces, 2014 This paper is devoted to the relationship between almost limited operators and weakly compact operators. We show that if F is a σ-Dedekind complete Banach lattice, then every almost limited operator T:E→F is weakly compact if and only if E is reflexive ...
Aziz Elbour +2 more
doaj +1 more source
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.
openaire +2 more sources