Results 31 to 40 of about 135,605 (213)
Unbounded Norm Convergence in Banach Lattices [PDF]
In this thesis we describe basic properties of unbounded norm convergence (un-convergence) and investigate its relationship with other convergences in Banach lattices.
O'Brien, Michael J
core +1 more source
Relatively uniform Banach lattices [PDF]
Sequential relative uniform and norm convergence agree in a Banach lattice, if and only if it is equivalent to an M M space.
openaire +2 more sources
Fragmentation–Coagulation Processes With Advection or Diffusion in Space
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley +1 more source
On the Quotients of Regular Operators
We give some results about quotients of regular operators on Banach lattices by the linear span of the positive M-weakly and positive L-weakly compact operators.
Erdal Bayram +1 more
doaj +1 more source
On the positive Dimant strongly $p$-summing multilinear operators
In 2003, Dimant V. has defined and studied the interesting class of strongly $p$-summing multilinear operators. In this paper, we introduce and study a new class of operators between two Banach lattices, where we extend the previous notion to the ...
A. Bougoutaia, A. Belacel, H. Hamdi
doaj +1 more source
Risk Measure Duality Without Structure
ABSTRACT We study risk measures on vector spaces of random variables which a priori have little structure, such as spaces lacking law invariance or a lattice structure. Ensuring the existence of a tractable dual representation (one which does not contain non‐sigma‐additive measures) is one of the main problems in risk measure theory, and we address it ...
Vasily Melnikov
wiley +1 more source
A Note on Local Polynomial Regression for Time Series in Banach Spaces
ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
wiley +1 more source
Ordered Variational Inequalities and Ordered Complementarity Problems in Banach Lattices
We introduce the concepts of ordered variational inequalities and ordered complementarity problems with both domain and range in Banach lattices. Then we apply the Fan-KKM theorem and KKM mappings to study the solvability of these problems.
Jinlu Li, Ching-Feng Wen
doaj +1 more source
Introduce gradual Banach lattices and Hyers stability [PDF]
The main objective of this article is to introduce gradual normed Riesz spaces and their properties. In fact, by adding a property to gradual normed spaces as discussed in reference [20], we have defined the gradual Banach lattices. Next, we focus on the
Ehsan Movahednia
doaj +1 more source
Banach Lattice Structures and Concavifications in Banach Spaces
Let ( Ω , Σ , μ ) be a finite measure space and consider a Banach function space Y ( μ ) . We say that a Banach space E is representable by Y ( μ ) if there is a continuous bijection I : Y ( μ ...
Lucia Agud +3 more
doaj +1 more source

