1) unitarily equivalent
酉等价性
2) Quasi-unitary equivalence
拟酉等价性
3) unitary equivalence
酉等价
1.
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。
2.
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。
4) unitary equivalent
酉等价的
5) U-equivalence of matrixes
酉等价
1.
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。
6) approximately unitarily equivalent
近似酉等价
1.
We prove that such two homomorphisms are approximately unitarily equivalent when they have the same induced maps on the invariant V(E1) and the quotient algebra, where K is the C*-algebra of all compact operators on a separable infinite dimensional Hilbert space and V(E1) is the commutative semigroup consisting of the Murray-von Ne.
设E1和E2为环面代数通过K的本质酉扩张,φ,ψ:E1→E2为单同态,若φ,ψ在半群V(E1)及商代数上导出的映射一致,则φ与ψ是近似酉等价的。
补充资料：酉等价表示
酉等价表示
imitarily-equivalent representations
酉等价表示l耐tarily一冈‘招k”t卿比senl比“.阳;y妞。Ta-p“0，KB“B“e“TH“e nPe及cT幼月ellll”]群(代数，环，半群)X在Hilbert空间万，，万2中的表示(见群的表示(rePreseniation of agro叩))7TI，兀。，满足条件 U兀:(x)=兀2(x)U，其中U是H，一HZ的某酉算子(明t卿operator)，且上式对所有x‘X成立.见交结算子(intertwinjngoPerator). A.H.lllTepll撰石生明译王杰校
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参考词条