Results 21 to 30 of about 321 (179)

A Note of Jessen’s Inequality and Their Applications to Mean-Operators

open access: yesMathematics, 2022
A variant of Jessen’s type inequality for a semigroup of positive linear operators, defined on a Banach lattice algebra, is obtained. The corresponding mean value theorems lead to a new family of mean-operators.
Gul I Hina Aslam   +2 more
doaj   +1 more source

S*-ORLICZ LATTICE

open access: yesJournal of Kufa for Mathematics and Computer, 2010
In this paper, we review here some of the ideas we have encountered in Orlicz function and define S*- Orlicz lattice. We have proved that S*-Orlicz space (X, ||.||F) is a normed S*-Vector Lattice, complete and therefore, it's a Banach S*-Vector Lattice.
Falah Hasan Sarhan   +1 more
doaj   +1 more source

Some open problems on Banach spaces [PDF]

open access: yesМатематичні Студії, 2012
Notes of the Problem Session which has been held on the section of Banach Spaces during the International conference dedicated to the 120-th anniversary of Stefan Banach in Lviv (Ukraine), September 17–21, 2012.
A. M. Plichko, M. M. Popov
doaj  

A description of the Stone space of Banach lattice C(K,E)

open access: yesJournal of Function Spaces and Applications, 2006
We give a topological description of the Stone space of C(K,E), Banach lattices of continuous functions from a compact Hausdorff space K into a Banach lattice E.
Zafer Ercan
doaj   +1 more source

On regular operators on Banach lattices

open access: yesActa 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 $T: E \rightarrow F$ is called regular if it is the difference of two positive operators. $L_{r}(E,F)$ denotes the vector space of all regular operators from $E$ into $F$.
openaire   +2 more sources

Komlós properties in Banach lattices [PDF]

open access: yesActa Mathematica Hungarica, 2018
Several Komlós like properties in Banach lattices are investigated. We prove that $C(K)$ fails the $oo$-pre-Komlós property, assuming that the compact Hausdorff space $K$ has a nonempty separable open subset $U$ without isolated points such that every $u\in U$ has countable neighborhood base.
Emelyanov, E. Y.   +2 more
openaire   +2 more sources

Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces

open access: yesBoundary Value Problems, 2005
We derive existence results for initial and boundary value problems in lattice-ordered Banach spaces. The considered problems can be singular, functional, discontinuous, and nonlocal. Concrete examples are also solved.
S. Heikkilä, Siegfried Carl
doaj   +2 more sources

On the positive weak almost limited operators

open access: yesArab Journal of Mathematical Sciences, 2015
Using the concept of approximately order bounded sets with respect to a lattice seminorm, we establish some new characterizations of positive weak almost limited operators on Banach lattices.
Nabil Machrafi   +3 more
doaj   +1 more source

Positive Cohen p-nuclear m-homogeneous polynomials [PDF]

open access: yesSurveys in Mathematics and its Applications, 2023
In this paper we introduce the concept of positive Cohen p-nuclear polynomials between Banach lattice spaces. We give an analogue to Pietsch domination theorem and we study some properties concerning this notion.
Asma Hammou   +3 more
doaj  

Free and projective Banach lattices [PDF]

open access: yesProceedings of the Royal Society of Edinburgh: Section A Mathematics, 2015
We define and prove the existence of free Banach lattices in the category of Banach lattices and contractive lattice homomorphisms, and establish some of their fundamental properties. We give much more detailed results about their structure in the case when there are only a finite number of generators, and give several Banach lattice characterizations ...
Wickstead, Anthony, de Pagter, Ben
openaire   +4 more sources

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