Results 101 to 110 of about 2,932 (231)

Schauder-Tychonoff Fixed-Point Theorem in Theory of Superconductivity

Journal of Function Spaces and Applications, 2013
We study the existence of mild solutions to the time-dependent Ginzburg-Landau ((TDGL), for short) equations on an unbounded interval. The rapidity of the growth of those solutions is characterized.
Mariusz Gil, Stanisław Wędrychowicz
doaj   +1 more source

A Note on Local Polynomial Regression for Time Series in Banach Spaces

Journal of Time Series Analysis, EarlyView.
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

Not OCA and products of Frechet spaces

We continue the investigation of the question of whether the product of two countable Fréchet spaces must be M-separable. We are especially interested in this question in the presence of Martin's Axiom. The question has been shown to be independent of Martin's Axiom but only in models in which $\mathfrak c\leqω_2$.
openaire   +2 more sources

Sequential Outlier Detection in Nonstationary Time Series

Journal of Time Series Analysis, EarlyView.
ABSTRACT A novel method for sequential outlier detection in nonstationary time series is proposed. The method tests the null hypothesis of “no outlier” at each time point, addressing the multiple testing problem by bounding the error probability of successive tests, using extreme‐value theory. The asymptotic properties of the test statistic are studied
Florian Heinrichs, Patrick Bastian, Holger Dette   +2 more
wiley   +1 more source

Testing Distributional Granger Causality With Entropic Optimal Transport

Journal of Time Series Analysis, EarlyView.
ABSTRACT We develop a novel nonparametric test for Granger causality in distribution based on entropic optimal transport. Unlike classical mean‐based approaches, the proposed method directly compares the full conditional distributions of a response variable with and without the history of a candidate predictor.
Tao Wang
wiley   +1 more source

Hyers-Ulam Stability of Linear Operators in Frechet Spaces

, 2012
Hyers-Ulam stability of a linear operator between Frechet spaces is defined. Necessary and sufficient conditions for the existence of Hyers-Ulam stability of a continuous linear operator from a Frechet space to another Frechet space are ...
Balaji, S., Sam Johnson, P.
core  

Introduce Gateaux and Frechet Derivatives in Riesz Spaces

, 2020
In this paper, the Gateaux and Frechet differentiations of functions on Riesz space are introduced without topological structure. Thus, we aim to study Gateaux and Frechet differentiability functions in vector lattice by developing topology-free ...
Aydin, Abdullah, Korkmaz, Erdal
core  

On I-Fréchet-Urysohn spaces and sequential I-convergence groups [PDF]

Mathematica Moravica, 2019
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  

Robust Mean–Variance Portfolio Optimization: Mean–Variance–Variance Criterion Versus Mean–Variance–Standard Deviation Criterion

Mathematical Finance, EarlyView.
ABSTRACT We study a dynamic portfolio optimization problem under the mean–variance–variance (M‐V‐V) criterion proposed by Maccheroni et al. It is an analogue of the Arrow–Pratt approximation to the well‐known smooth ambiguity model. Under the standard Black–Scholes framework, we derive fully explicit equilibrium investment strategies in which a DM's ...
David Landriault, Bin Li, Yuanyuan Zhang
wiley   +1 more source

Closed subspaces without Schauder bases in non-archimedean Frechet spaces [PDF]

, 2001
Let E be an infinite-dimensional non-archimedean Frechet space which is not isomorphic to any of the following spaces: $c_0,c_0 x K^N,K^N$. It is proved that E contains a closed subspace without a Schauder basis (even without a strongly finite ...
Śliwa, Wiesław
core   +1 more source