Deepen the open mapping theorem, define the closed mapping and the weakly closed mapping under untithesis, and also discuss some of their related properties.
深化算子的开映射定理，对偶地定义了算子的闭映射与弱闭映射，并讨论了相关的若干性质。
By discussing the filter product cosine operator function and the spectrum of it 's generator, the spectral mapping theorem for the locally equicontinuous cosine operator function is established.
通过对滤子积余弦算子函数及生成元谱性质的讨论，建立了局部等度连续余弦算子函数的谱映象定理。
By discussing the filter product cosine operator function and the spectrum of it 's generator, the spectral mapping theorem for the locally equicontinuous cosine operator function is established.
通过对滤子积余弦算子函数及生成元谱性质的讨论，建立了局部等度连续余弦算子函数的谱映象定理。
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