In the paper, we discuss the relations of algebra equivalence, unitary equivalence and homotopy equivalence in C*-Algebra.
寻找等价关系是研究不变量的一种方法,为了使大家更好的认识和学习C*-代数,我们在本文研究了算子代数中经常用到的代数等价、酉等价、同伦等几种等价之间的关系。
In this paper, we discuss the unitary equivalence of Toeplitz on Bergman and Dirichlet spaces.
讨论Bergman空间和Dirichlet空间上Toeplitz算子的酉等价性,认为在这两类空间上,Toeplitz算子的酉等价问题比经典的Hardy空间情形复杂。
Objective Resting on the definition of the normal matrix,Schur-Lemma,the U-equivalence of matrixes and their relative characters,from the perspective of the U-equivalence of matrixes,Characteristic value of matrixes and characteristic vector of matrixes,several equivalent conditions under which the matrix in the complex field is a normal matrix are obtained.
目的依据正规矩阵的定义、Schur引理和矩阵酉等价,以及它们的相关性质,从矩阵的酉等价和矩阵的特征值、特征向量等方面,给出了复数域上的矩阵是正规矩阵的几个等价条件。
