bounded operator

Convolution and bounded operator

卷积与算子的有界性

The best approximating of bounded linear operator in the space W and Application

W空间中有界线性算子的最佳逼近及其应用

Isolate Point of Operator Essential Spectrum in the Approximation for Bounded Linear Operator

有界线性算子逼近问题中算子本质谱孤立点的处理

We discuss the best generalized inverse of linear bounded operator in finite dimension Hilbert space. We proved Moore-Penrose generalized inverse is the best generalized inverse.

本文讨论了有限维Hilbert空间中有界线性算子的最佳广义逆问题，证明了Moore-Penrose广义逆为最佳的。

In this paper a new linear, continuous and bounded operator& piecewise general orthogonal polynomials operator ( PGOPO) is proposed, and its main properties and operational rules are described.

提出了一类新型的线性、有界算子&分段广义正交多项式算子（PGOPO），建立了其主要性质及运算规则；

Let k ∈ C ( R++) and B be a linear bounded operator.

设k∈C（R+）和B是一个有界线性算子。

For a linear bounded operator in finite dimensional Hilbert space, we first introduce the definition of exactly positive and give a sufficient and necessary condition by the way of space decomposition of the operator;

对有限维Hilbert空间的线性算子，引入了恰好正的概念，并利用算子的空间分解，得到了其存在惟一正逼近的充分必要条件；