這篇論文主要在研究所有值域在巴氏空間上的連續函數的近乎收斂性、強近乎收斂性、以及(C,1)收斂、C-all*收斂,得到一些新的結果。 This thesis is concerned with the relations between almost convergence, strongly almost convergence, convergence in (C,1) sense, convergence in C-all* sense in the space C([0,∞), X ) of all continuous function with values in Banach space X. Some counterexamples of these properties are discussed.