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NON-ARCHIMEDEAN: 作品数：21被引量：9H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：宋爱民邹文明高金梅更多>>; 相关机构：山东大学甘肃民族师范学院陕西师范大学青岛大学更多>>; 相关期刊：《Acta Mathematica Sinica,English Series》《Science China Mathematics》《Applied Mathematics and Mechanics(English Edition)》《Acta Mathematicae Applicatae Sinica》更多>>; 相关基金：国家自然科学基金俄罗斯基础研究基金国家重点基础研究发展计划更多>>

ISOMETRY AND PHASE-ISOMETRY OF NON-ARCHIMEDEAN NORMED SPACES: 《Acta Mathematica Scientia》2023年第6期2377-2386,共10页王瑞东姚文婷; supported by the Natural Science Foundation of China (12271402);the Natural Science Foundation of Tianjin City (22JCYBJC00420)。; In this paper,we study isometries and phase-isometries of non-Archimedean normed spaces.We show that every isometry f:Sr(X)→Sr(X),where X is a finite-dimensional non-Archimedean normed space and Sr(X)is a sphere with...; 关键词：non-Archimedean normed spaces isometry extension Wigner's theorem

The Moduli Space of Stable Coherent Sheaves via Non-archimedean Geometry: 《Acta Mathematica Sinica,English Series》2022年第10期1722-1780,共59页Yun Feng JIANG; Partially supported by NSF(Grant No.DMS-1600997)。; We provide a construction of the moduli space of stable coherent sheaves in the world of non-archimedean geometry,where we use the notion of Berkovich non-archimedean analytic spaces.The motivation for our constructio...; 关键词：Non-archimedean Donaldson-Thomas theory Berkovich space analytic d-critical scheme motivic localization

A Non-Archimedean Version of the Classical Hilbert Inequality被引量：1: 《Chinese Quarterly Journal of Mathematics》2020年第4期431-440,共10页JIN Jian-jun LI Chun-hua; Supported by National Science Foundation of China (Grant No. 11501157, 11705043,11547137)。; In this note, we introduce and study a p-adic Hilbert-type integral operator and obtain its sharp norm estimate. As applications, we establish a p-adic Hilbert-type inequality with the best constant and its equivalent...; 关键词：p-Adic fields p-Adic integral operator p-Adic Hilbert-type inequality Norm of operator

The Aleksandrov Problem in Non-Archimedean 2-Fuzzy 2-Normed Spaces: 《Journal of Applied Mathematics and Physics》2019年第8期1775-1785,共11页Meimei Song Haixia Jin; We introduce the definition of non-Archimedean 2-fuzzy 2-normed spaces and the concept of isometry which is appropriate to represent the notion of area preserving mapping in the spaces above. And then we can get isome...; 关键词：NON-ARCHIMEDEAN 2-Fuzzy 2-Normed Space ISOMETRY Benz’s THEOREM

A PICARD-TYPE THEOREM AND A UNIQUENESS THEOREM OF NON-ARCHIMEDEAN ANALYTIC CURVES IN PROJECTIVE SPACE: 《Acta Mathematica Scientia》2019年第4期1053-1064,共12页Zhonghua WANG Qiming YAN; supported by Education Department of Henan Province(16A110029);NSFC(11571256); In this article, we prove a Picard-type Theorem and a uniqueness theorem for non-Archimedean analytic curves in the projective space Pn(F), where the characteristic of F is 0 or positive. In the main results of this a...; 关键词：Picard-type THEOREM uniqueness THEOREM NON-ARCHIMEDEAN ANALYTIC CURVES

APPROXIMATE SOLUTION OF A p-th ROOT FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN (2,β)-BANACH SPACES: 《Acta Mathematica Scientia》2019年第2期369-381,共13页Iz-iddine EL-FASSI Hamid KHODAEI Themistocles M.RASSIAS; In this paper, using the Brzdek's fixed point theorem [9,Theorem 1] in non-Archimedean(2,β)-Banach spaces, we prove some stability and hyperstability results for an p-th root functional equation ■where p∈{1, …, 5}...; 关键词：fixed point theorem p-th ROOT functional equation stability NON-ARCHIMEDEAN (2 β)-normed SPACES

Non-Archimedean Analysis on the Extended Hyperreal Line *R<sub>d</sub>and the Solution of Some Very Old Transcendence Conjectures over the Field Q: 《Advances in Pure Mathematics》2015年第10期587-628,共42页Jaykov Foukzon; In 1980 F. Wattenberg constructed the Dedekind completion *Rd of the Robinson non-archimedean field *R and established basic algebraic properties of *Rd. In 1985 H. Gonshor established further fundamental properties o...; 关键词：NON-ARCHIMEDEAN Analysis Robinson Non-Archimedian FIELD DEDEKIND Completion DEDEKIND Hyperreals Wattenberg Embeding Gonshor Idempotent Theory Gonshor Transfer

二次-三次函数方程在Non-Archimedean赋范空间的Ulam稳定性: 《甘肃高师学报》2015年第2期4-6,9,共4页宋爱民; 甘肃民族师范学院院长基金资助(12-20); 讨论了混合二次-三次函数方程6f(x+y)-6f(x-y)+4f(3y)=3f(x+2y)-3f(x-2y)+9f(2y); 关键词：Non-Achimedean赋范空间混合二次-三次函数方程 Ulam稳定性

Functional Inequalities in Non-Archimedean Normed Spaces被引量：1: 《Acta Mathematica Sinica,English Series》2015年第3期353-366,共14页Choonkil PARK; Supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education,Science and Technology(Grant No.NRF-2012R1A1A2004299); In this paper, we introduce an additive functional inequality and a quadratic functional inequality in normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in Banach spaces. Furthermore, we...; 关键词：Jordan-yon Neumann functional equation non-Archimedean normed space Banachspace Hyers-Ulam stability functional inequality

The Finite-dimensional Decomposition Property in Non-Archimedean Banach Spaces: 《Acta Mathematica Sinica,English Series》2014年第11期1833-1845,共13页Albert KUBZDELA Cristina PEREZ-GARCIA; partially supported by Ministerio de Ciencia e Innovación,MTM2010-20190-C02-02; A non-Archimedean Banach space has the orthogonal finite-dimensional decomposition property（OFDDP） if it is the orthogonal direct sum of a sequence of finite-dimensional subspaces.This property has an influence in t...; 关键词：Non-Archimedean Banach spaces finite-dimensional decomposition property orthogonal base

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