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C-半群的谱与其生成元谱之间的关系 被引量:9

THE RELATIONS BETWEEN THE SPECTRUM OF C-SEMIGROUPS AND THE SPECTRUM OF ITS GENERATOR
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摘要 本文首次给出了C-半群的预解集和谱的概念,得到了C-半群的谱与其生成元谱的一系列结果. In this paper, authors fist give the concepts of resolvent set and spectrum of C-semigroups, and obtain a series of results between the spectrum of C-semigroups and that of its generator.
机构地区 西北大学
出处 《纯粹数学与应用数学》 CSCD 1995年第1期56-60,共5页 Pure and Applied Mathematics
关键词 生成元 点谱 连续谱 C半群 预解集 C-semigroups generator spectrum point spectrum continuous spectrum Residual spectrum
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  • 1郑权,雷岩松.指数有界的C余弦算子函数[J].系统科学与数学,1996,16(3):242-252. 被引量:19
  • 2宋晓秋.c半群的谱映射定理[J].Journal of Mathematical Research and Exposition,1996,16(4):526-530. 被引量:4
  • 3PAZY A. Semigroups of linear operators and applications to partial differential equations[M]. New York: Springer-Verlag, 1983.
  • 4KI Sik-ha. Spectral mapping theorems for exponentially bounded C-semigroups in banach spaees[J]. Semigmup Forum, 1989,38:215 - 221.
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  • 6WANG Sheng-wang. Mild intergrated C-existence families[J]. Studia Math, 1995,112 (3) : 251 - 266.
  • 7SONG Xiao-qiu. Spectral mapping theorems for C-semigroups[J]. J Math Research & Exposition, 1996, 16(4) :526 -530.
  • 8Pazy A. Semigroups of Linear Operators and Applica- tions to Partial Differential Equations [ M ]. New york: Springer-Verlag, 1983.
  • 9Song Xiao-qiu. Spectral Mapping Theorems for C Semi- groups[J]. Journal of Mathematical Research and Ex- position, 1996,16 ( 4 ) : 527 - 529.
  • 10Sharif A S, Khalil R. On the generator of two parameter semi-groups [ J ]. Appl Math and Comput, 2004, 156 (2) :403 -414.

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