指数有界双参数n阶α次积分C半群的谱映射定理  

Spectral Mapping Theorems for Exponentially Bounded Two-parameter n-th Orderα-times Integration C-semigroups

作　　者：周裕然 赵华新[1] 周阳 ZHOU Yu-ran;ZHAO Hua-xin;ZHOU YANG(School of Mathematics and Computer Science,Yan′an University,Yan′an 716000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《延安大学学报（自然科学版）》2021年第2期75-79,共5页Journal of Yan'an University：Natural Science Edition

基　　金：国家自然科学基金项目(71961030)。

摘　　要：研究了指数有界双参数n阶α次积分C半群的谱映射定理。利用经典算子半群理论中的方法和双参数n阶α次积分C半群的概念,讨论指数有界双参数n阶α次积分C半群与其次生成元的谱的相关性质。The spectral mapping theorem of exponentially bounded two-parameter n-th orderα-times integration C-semigroups is studied,by using the method of classical operator semigroup theory and the concept of two-parame⁃ter n-th orderα-times integration C-semigroups,the related properties of exponentially bounded two-parameter nth orderα-times integration C-semigroups and the spectrum of sub-generator are discussed.

关 键 词：指数有界 双参数n阶α次积分C半群 指数有界双参数n阶α次积分C半群 谱映射定理 

分 类 号：O177􀆰[理学—数学]