【摘要】 利用次范整线性空间上可加奇性算子的3种不同的次范数和拟次范数,研究了可加奇性算子空间.证明了有界(局部有界、球有界)可加奇性算子空间关于相应的算子次范数(拟次范数)构成一个次范(拟次范)整线性空间.此外,还给出了可加奇性算子空间成为完备次范整线性空间的几个充分条件.更多还原

【Abstract】 Using the three different sub-norm and quasi-sub-norms of additive odd operators on sub-normed integral-linear spaces,the space of additive odd operators is studied.We prove that the space of bounded(local-bounded,ball-bounded) additive odd operators with a corespoinding sub-norm(quasi-sub-norm) of operators is a sub-normed(quasi-sub-normed) space.In addition,we also give some sufficient conditions for these spaces of additive odd operators to be complete sub-normed integral-linear spaces.更多还原