全连续算子

Hilbert空间上全连续算子的谱分解

Spectral Decomposition For Completely Continuous Operator On the Hilbert Space

用拓扑度理论研究非线性全连续算子固有元的性质，推广了经典Krein-Rutman定理，应用于非线性Hammerstein型积分方程。

Using topological degree theory researches some properties of eigenvectors of nonlinear Complete continuous operators , thereby generalizes classical Krein-Rutman theorem , and applies the obtained result to Hammerstein nonlinear integral equations .

全连续算子方程的多解定理及其应用

Multiple Fixed Point Theorems of a Complete Continuous Operator and Applications

全连续算子的不动点定理

The Fixed Point theorem of The Completely Continuous Operator

全连续算子的固有值、固有元的全局特征和应用

The global characteristics and application of eigenvalue and eigenelement on the completely continuous operator

非线性全连续算子的固有值与固有元

Eigenvalues and Eigenvectors of Completely Continuous Nonlinear Operators

全连续算子的歧点

Ambiguous Point on The Completely Continuous Operator

随机全连续算子的延拓

Extension of Completely Continuous Random Operator

关于全连续算子

Remarks on completely continuous operators

线性全连续算子的特征值和谱半径是非常重要的、具有实际意义的指标。

The eigenvalue and the spectral radius of linear completely continuous operators are very important and significant indexes .

本文讨论可数模空间上全连续算子的有限维逼近定理及该空间的一些性质。

In this paper the properties and fixed point theorems of completely continuous maps on denumerable norm spaces are studied .

全连续正规算子的极值性和泛函方程的解

The extremal principle of the completely continuous normal transformation and the solution of the functional equation