| B（X）上保点谱的可加映射和初等算子 |
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| 引用本文： | 王勤.B（X）上保点谱的可加映射和初等算子[J].数学杂志,1997,17(4):468-472. |
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| 作者姓名： | 王勤 |
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| 作者单位： | 山西大同雁北师范学院 |
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| 摘 要： | 记Ｘ为复数域上无限维Ｂａｎａｃｈ空间，Ｈ为无限维复可分Ｈｉｌｅｒｔ空间。本文给出Ｂ（Ｘ）上保持点谱的满射可加射具有的形式，以及Ｂ（Ｈ）上某些初等算子保点谱的充要条件。
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| 关 键 词： | 点谱 可加映射 初等算子 巴拿赫数 满射 |
ADDITIVE MAPS AND ELEMENTARY OPERATORS WHICH PRESERVE POINT SPECTRUM |
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| Wang Qin.ADDITIVE MAPS AND ELEMENTARY OPERATORS WHICH PRESERVE POINT SPECTRUM[J].Journal of Mathematics,1997,17(4):468-472. |
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| Authors: | Wang Qin |
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| Abstract: | Let X denote an infinite dimensional Banach space over complex field, H an infinite dimensional Hilbert space. It is shown that the surjective additive maps on B(X) which preserve point spectrum are inner automorphisms of B(X) . Some elementary operators preserving point spectrum on B(H) are also discussed. |
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| Keywords: | point spectrum additive maps elementary operators |
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