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This paper aims to give a further study on quasi-convex subsets in Alexandrov spaces with lower curvature bound which are introduced in [SSW]. We first provide new insights on quasi-convex subsets (Theorem A and Corollary C), and then as…

度量几何 · 数学 2020-12-17 Xiaole Su , Hongwei Sun , Yusheng Wang

In this article, we prove some fixed point theorems in metric type spaces. This article is just a generalization some results previously proved in \cite{niyi-gaba}. In particular, we give some coupled common fixed points theorems under weak…

一般拓扑 · 数学 2015-05-12 Yaé Ulrich Gaba

This paper has been withdrawn by the author due to an error in Lemma 3, making the (bijective) proof of Theorem 4 and Corollary 5 invalid (symmetry of k-nonnesting and k-noncrossing set partitions).

组合数学 · 数学 2007-10-09 Robert Parviainen

We extend the Gabor analysis in \cite{GaSa} to a broad class of modulation spaces, allowing more general mixed quasi-norm estimates and weights in the definition of the modulation space quasi-norm. For such spaces we deduce invariance and…

泛函分析 · 数学 2014-09-09 Joachim Toft

We introduce the notion of quasi-Poisson modules over Lie-Rinehart pairs and prove that for the Lie-Rinehart pair $(\dot A,\dot\fk)$ in which $\dot A=\bbbc[t_1^{\pm1},\ldots,t_m^{\pm1}]\ot\Lam_n$ and $\dot\fk={\rm Der}(\dot A)$, there is a…

表示论 · 数学 2026-05-29 Malihe Yousofzadeh

In this short note we show, providing counterexamples, that the "two important theorems" in the recent paper [Y, Yuan, Global optimization solutions to a class of non-convex quadratic minimization problems with quadratic constraints, in…

最优化与控制 · 数学 2018-08-16 C. Zalinescu

We prove strong convergence theorems of some iterative algorithms in a real uniformly smooth Banach space. The results presented extend, generalize and improve the corresponding results recently announced by many authors.

泛函分析 · 数学 2015-08-28 Abba Auwalu

We show that every quasi-compact and quasi-separated algebraic stack can be approximated by a noetherian algebraic stack. We give several applications such as eliminating noetherian hypotheses in the theory of good moduli spaces.

代数几何 · 数学 2023-11-16 David Rydh

We compute semi-classical corrections to the energy of rotating Nambu-Goto strings with masses at the ends, using methods from quantum field theory on curved space-times. In the limit of large angular momentum, we recover the Regge…

高能物理 - 理论 · 物理学 2017-12-08 Jochen Zahn

The paper disproves a basic theorem on quasi-birth-and-death processes given in [M. F. Neuts (1995). Matrix Geometric Solutions in Stochastic Models: An Algorithmic Approach. Dover, New York].

概率论 · 数学 2020-02-11 Vyacheslav M. Abramov

We build here several counterexamples for two weight bi-parameter Carleson embedding theorem.

偏微分方程分析 · 数学 2019-07-01 Pavel Mozolyako , Georgios Psaromiligkos , Alexander Volberg

We apply the machinery of relative tensor triangular Chow groups to the action of the derived category of quasi-coherent sheaves on a noetherian scheme $X$ on the derived category of quasi-coherent $\mathcal{A}$-modules, where $\mathcal{A}$…

代数几何 · 数学 2019-02-05 Pieter Belmans , Sebastian Klein

In this paper we discuss some properties of completely irrational subspaces. We prove that there exist completely irrational subspaces that are badly approximable and, moreover, sets of such subspaces are winning in different senses. We get…

数论 · 数学 2025-02-18 Vasiliy Neckrasov

We introduce an abstract KAM (Kolmogorov-Arnold-Moser) theorem for infinite dimensional reversible Schr\"odinger systems. Using this KAM theorem together with partial Birkhoff normal form method, we find the existence of quasi-periodic…

动力系统 · 数学 2023-08-16 Yingnan Sun , Shuaishuai Xue

In [3] it was proved that almost-greedy and semi-greedy bases are equivalent in the context of Banach spaces with finite cotype. In this paper we show this equivalence for general Banach spaces.

泛函分析 · 数学 2018-06-19 Pablo M. Berná

In this paper, we introduce the notion of bicomplex partial b-metric space and prove some common fixed point theorems. Our results generalize and expand some of the literature's well known results. We also explore some of the applications…

泛函分析 · 数学 2021-07-12 Gunaseelan Mani , Arul Joseph Gnanaprakasam , Yongjin Li , Zhaohui Gu

A unified version of Machado-Bishop theorem in weighted spaces is given. A number of applications illustrate its importance.

经典分析与常微分方程 · 数学 2019-07-22 Deliang Chen

We give examples showing that the usual Artin Approximation theorems valid for convergent series over a field are no longer true for convergent series over a commutative Banach algebra. In particular we construct an example of a commutative…

交换代数 · 数学 2020-04-21 Guillaume Rond

Quasi-polar spaces are sets of points having the same intersection numbers with respect to hyperplanes as classical polar spaces. Non-classical examples of quasi-quadrics have been constructed using a technique called pivoting [5]. We…

组合数学 · 数学 2021-09-28 Jeroen Schillewaert , Geertrui Van de Voorde

This paper is a revision and an enlargement of the previous version titled "Extreme points of the unit ball of a quasi-multiplier space" which had been circulated since 2004. We study extreme points of the unit ball of an operator space by…

算子代数 · 数学 2009-05-18 Masayoshi Kaneda
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