酉等价,unitary equivalence
U-equivalence of matrixes酉等价
1.Objective Resting on the definition of the normal matrix,Schur-Lemma,theU-equivalence of matrixes and their relative characters,from the perspective of theU-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。
3)unitarily equivalent酉等价性
4)unitary equivalent酉等价的
5)approximately unitarily equivalent近似酉等价
1.We prove that such two homomorphisms areapproximately 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。
6)Quasi-unitary equivalence拟酉等价性
延伸阅读
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
