Finally, the application of bounded homogeneous operator space to generalized inverses of operator are given in this paper as well.

最后，我们给出有界齐性算子空间在算子广义逆问题上的应用。

youdao

In this paper, the equivalent relation of boundedness and continuity at zero for homogeneous operator in normal linear space is proved.

本文证明了赋范线性空间中有界齐性算子与在零点连续的齐性算子等价。

youdao

It follows that a linear operator is a compact linear operator iff it an be approximated uniformly by a sequence of finite rank continuous homogeneous operators.

线性算子为紧线性算子必须且仅须它可由一列有限秩连续齐性算子一致逼近。

youdao

It follows that a linear operator is a compact linear operator iff it an be approximated uniformly by a sequence of finite rank continuous homogeneous operators.

线性算子为紧线性算子必须且仅须它可由一列有限秩连续齐性算子一致逼近。

youdao