Results 81 to 90 of about 129,346 (205)

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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Optimal control of stochastic partial differential equations in Banach spaces [PDF]

, 2010
In this thesis we study optimal control problems in Banach spaces for stochastic partial differential equations. We investigate two different approaches.
Serrano Perdomo, Rafael Antonio
core   +2 more sources

Banach lattices of positively homogeneous functions induced by a Banach space [PDF]

Motivated by the construction of the free Banach lattice generated by a Banach space, we introduce and study several vector and Banach lattices of positively homogeneous functions defined on the dual of a Banach space $E$.
Laustsen, Niels Jakob, Tradacete, Pedro
core   +4 more sources

Differential inclusions of arbitrary fractional order with anti-periodic conditions in Banach spaces

Electronic Journal of Qualitative Theory of Differential Equations, 2016
In this paper, we establish various existence results of solutions for fractional differential equations and inclusions of arbitrary order $q\in (m-1,m)$, where $m$ is an arbitrary natural number greater than or equal to two, in infinite dimensional ...
JinRong Wang, Ahmed Ibrahim, Michal Fečkan   +2 more
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Embeddings of Banach Spaces Into Banach Lattices and the Gordon–Lewis Property

Positivity, 2001
32 pages ...
Nielsen, Niels Jørgen, Casazza, Peter G.   +1 more
openaire   +2 more sources

Statistical Order Convergence and Statistically Relatively Uniform Convergence in Riesz Spaces

Journal of Function Spaces, 2018
A new concept of statistically e-uniform Cauchy sequences is introduced to study statistical order convergence, statistically relatively uniform convergence, and norm statistical convergence in Riesz spaces.
Xuemei Xue, Jian Tao
doaj   +1 more source

Free Banach lattices over pre-ordered Banach spaces [PDF]

We define the free Banach lattice over a pre-ordered Banach space in a category of Banach lattices of a given convexity type, and show its existence. The subsumption of a pre-ordering necessitates an approach that differs fundamentally from the known one
Jiang, Xingni, de Jeu, Marcel
core   +1 more source

Some properties of b-weakly compact operators on Banach lattices

پژوهش‌های ریاضی, 2021
In this paper we give some necessary and sufficient conditions for which each Banach lattice  is    space and we study some properties of b-weakly compact operators from a Banach lattice  into a Banach space .
Kazem Haghnejad azar, Akbar Bahramnezhad
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Haar null closed and convex sets in separable Banach spaces. [PDF]

Bull Lond Math Soc, 2023
Ravasini D.
europepmc   +1 more source

Uniform Asymptotic Stability and Robust Stability for Positive Linear Volterra Difference Equations in Banach Lattices

Advances in Difference Equations, 2008
For positive linear Volterra difference equations in Banach lattices, the uniform asymptotic stability of the zero solution is studied in connection with the summability of the fundamental solution and the invertibility of the characteristic operator ...
Nagabuchi Yutaka, Murakami Satoru
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