【摘要】 设BC[0,∞)是无界区间[0,∞)上有界连续函数全体,则BC[0,∞)是依赖于参数a>0和p≥1的赋范空间.由Banach逆算子定理,BC[0,∞)是不完备的赋范空间.对a>0,当且仅当p=2时,BC[0,∞)是内积空间.更多还原

【Abstract】 Let BC[0,∞) be the set of bounded coutinous founctions on[0,∞),then BC[0,∞) is a normed spae depending on parameters of a and p with a > 0 and p > 1. Using Banach inverse operator theorem,BC[0,∞) is a uncomplete normed space,and it is an inner prouduct space if and only if p = 2.更多还原