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无穷维Hamilton算子闭值域研究

A Study on the Closed Range of Infinite Dimensional Hamilton Operators
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摘要 主要研究了无穷维Hamilton算子的值域的闭性问题.运用扰动理论和Hyers-Ulam稳定性,给出无穷维Hamilton算子的值域为闭的充分条件.最后给出例子,加以说明判别准则的有效性. The closed range of infinite dimensional Hamilton operators is studied.Using the perturbation theory and Hyers-Ulam stability,the sufficiant conditions of the closed range of infinite dimensional Hamilton operators are given.In the end,some examples are given to illustrate the effectiveness of the proposed criterion.
作者 苏日古嘎 吴德玉 阿拉坦仓 Suriguga;WU De-yu;Alatancang(School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021 ,China)
出处 《内蒙古大学学报(自然科学版)》 CAS 北大核心 2017年第6期607-611,共5页 Journal of Inner Mongolia University:Natural Science Edition
基金 国家自然科学基金(11561048 11371185) 内蒙古自治区自然科学基金(2015MS0116)资助
关键词 无穷维HAMILTON算子 闭值域 HYERS-ULAM稳定性 infinite dimensional Hamilton operator closed range Hyers-Ulam stability
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