A Hahn-Jordan decomposition and Riesz-Frechet representation theorem in Riesz spaces
We give a Hahn-Jordan decomposition in Riesz spaces which generalizes that of [{{\sc B. A. Watson}, {An And\^o-Douglas type theorem in Riesz spaces with a conditional expectation,} {\em Positivity,} {\bf 13} (2009), 543 - 558}] and a Riesz-Frechet ...
Kuo, Wen-Chi +2 more
core
On I-Fréchet-Urysohn spaces and sequential I-convergence groups [PDF]
In this paper, we introduce the concept of sequential I-convergence spaces and I-Fréchet-Urysohn space and study their properties. We give a sufficient condition for the product of two sequential I-convergence spaces to be a sequential I-convergence ...
Renukadevi V., Vijayashanthi P.
doaj
Asymptotic Almost Periodic Functions with Range in a Topological Vector Space
The notion of asymptotic almost periodicity was first introduced by Fréchet in 1941 in the case of finite dimensional range spaces. Later, its extension to the case of Banach range spaces and locally convex range spaces has been considered by several ...
Liaqat Ali Khan, Saud M. Alsulami
doaj +1 more source
Robust Bernoulli Mixture Models for Credit Portfolio Risk
ABSTRACT This paper presents comparison results and establishes risk bounds for credit portfolios within classes of Bernoulli mixture models, assuming conditionally independent defaults that are stochastically increasing in a common risk factor. We provide simple and interpretable conditions on conditional default probabilities that imply a comparison ...
Jonathan Ansari, Eva Lütkebohmert
wiley +1 more source
On Universal Schauder Bases in Non-Archimedean Frechet Spaces [PDF]
We prove that there exists a non-archimedean Frechet space U with a basis $(u_n)$ such that any basis $(x_n)$ in a non-archimedean Frechet space X is equivalent to a subbasis $(u_k_n)$ of $(u_n)$.
Śliwa, Wiesław
core
Frechet-Urysohn property of quasicontinuous functions
The aim of this paper is to study the Frechet-Urysohn property of the space $Q_p(X,\mathbb{R})$ of real-valued quasicontinuous functions, defined on a Hausdorff space $X$, endowed with the pointwise convergence topology.
Osipov, Alexander V.
core
Substantial Diel Changes of Cloud Adjustments to Aerosols in Ship‐Tracks
Abstract Clouds adjust their albedo, amount and liquid water path to anthropogenic aerosols, and produce a climate forcing. Such cloud adjustments are complex functions of both environmental conditions and interaction time. However, direct observations of temporal changes in cloud adjustments are limited. Here, we develop a method to show observational
Tianle Yuan +6 more
wiley +1 more source
Seismic Evidence for Slab Tearing Beneath the Indo‐Myanmar Subduction Zone
Abstract Slab tearing has been increasingly recognized as a key geodynamic process influencing the evolution of the eastern Himalayan syntaxis. However, whether, where and how the subducted Indian slab beneath the Indo‐Myanmar subduction zone has been torn remains poorly constrained.
Shun Yang +9 more
wiley +1 more source
On the Temporal Variability of Precipitation in Iraq: Arid‐Wet Years and Extreme Events
Daily and monthly precipitation data in Iraq display high seasonal to interdecadal variability, with arid and wet years that have very distinct seasonal cycles. Monthly rainfall is significantly correlated with the Indian Ocean Dipole. Extreme events are identified and classified as belonging to four different weather patterns, allowing to obtain daily
Ali Raheem Al‐Nassar +2 more
wiley +1 more source
Frechet differentiability in Besov spaces in the optimal control of parabolic free boundary problems
We consider the inverse Stefan type free boundary problem, where information on the boundary heat flux and the density of the sources are missing and must be found along with the temperature and the free boundary.
Ugur G. Abdulla, Jonathan M. Goldfarb
core +1 more source

