Results 31 to 40 of about 571,685 (162)
Some characterizations of surjective operators on banach lattices [PDF]
Journal of Hyperstructures, 2018 The concepts of compact and weakly compact operators on Banach spaces are considered and investigated in several papers. In this paper, taking idea from this notations, we consider the concept surjective compact and weakly compact operators on Banach ...
Akbar Bahramnezhad, Kazem Haghnejad Azar
doaj +1 more source
Fragmentation–Coagulation Processes With Advection or Diffusion in Space
Mathematical Methods in the Applied Sciences, Volume 49, Issue 17, Page 17952-17982, 30 November 2026.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‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more general version ...
Jacek Banasiak, Nduduzo Majozi
wiley +1 more source
Abstract and Applied Analysis, 2011 We characterize the centre of the Banach lattice of Banach lattice 𝐸-valued continuous functions on the Alexandroff duplicate of a compact Hausdorff space 𝐾 in terms of the centre of 𝐶(𝐾,𝐸), the space of 𝐸-valued continuous functions on 𝐾.
Faruk Polat
doaj +1 more source
Domination and Kwapień’s factorization theorems for positive Cohen p–nuclear m–linear operators
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we introduce and study the concept of positive Cohen p-nuclear multilinear operators between Banach lattice spaces. We prove a natural analog to the Pietsch domination theorem for this class.
Bougoutaia Amar +2 more
doaj +1 more source
On the Nonnegative Rank of Positive Operators
Mathematische Nachrichten, Volume 299, Issue 11, Page 3689-3704, November 2026.ABSTRACT In this paper, we introduce the concept of a nonnegative rank of a positive operator T:X→Y$T: X\rightarrow Y$ between ordered vector spaces. In the case of nonnegative matrices, our definition agrees with the standard definition of a nonnegative rank.
Roman Drnovšek, Marko Kandić
wiley +1 more source
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
A Note on Local Polynomial Regression for Time Series in Banach Spaces
Journal of Time Series Analysis, Volume 47, Issue 6, Page 1124-1138, November 2026.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
Curved RUM spectra of periodic frameworks
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract The rigid unit mode (RUM) spectrum records the phases at which a periodic (or crystal) framework admits a phase‐periodic infinitesimal motion. This plays a central role in the geometric rigidity of crystal frameworks, with applications in crystallography and materials science.
Antonio Acuaviva +3 more
wiley +1 more source
Tilings and coverings by balls in ℓ1$\ell _1$
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract A famous result of Klee from 1981 is that the Banach space ℓ1(κ)$\ell _1(\kappa)$ admits a disjoint tiling by balls of radius 1, for all cardinals κ$\kappa$ with κℵ0=κ$\kappa ^{\aleph _0} =\kappa$. Klee also observed that the smallest cardinal in which such a tiling might exist is κ=2ℵ0$\kappa = 2^{\aleph _0}$, leaving open the question ...
Carlo Alberto De Bernardi +3 more
wiley +1 more source
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
doaj +1 more source