设H,K是复可分的无穷维Hilbert空间。对给定关系A∈BR(H),B∈BR(K),X∈BR(K,H),记2×2上三角关系矩阵MX=(A X 0 B)∈BR(H⊕K),给出Mx的两类点谱σ_(p,1)(M_(X))和σ_(p,2)(M_(X)),两类剩余谱σ_(r,1)(M_(X))和σ_(r,2)(M_(X))与其...设H,K是复可分的无穷维Hilbert空间。对给定关系A∈BR(H),B∈BR(K),X∈BR(K,H),记2×2上三角关系矩阵MX=(A X 0 B)∈BR(H⊕K),给出Mx的两类点谱σ_(p,1)(M_(X))和σ_(p,2)(M_(X)),两类剩余谱σ_(r,1)(M_(X))和σ_(r,2)(M_(X))与其对角元A和B的对应谱的并集之间的联系。展开更多
In this paper,we present a necessary and sufficient condition for hyponormal block Toeplitz operators T on the vector-valued weighted Bergman space with symbolsΦ(z)=G^(*)(z)+F(z),where F(z)=∑^(N)_(i)=1 A_(i)z^(i)and...In this paper,we present a necessary and sufficient condition for hyponormal block Toeplitz operators T on the vector-valued weighted Bergman space with symbolsΦ(z)=G^(*)(z)+F(z),where F(z)=∑^(N)_(i)=1 A_(i)z^(i)and G(z)=∑^(N)_(i)=1 A_(−i)z^(i),A_(i)ae culants.展开更多
This paper studies certain estimates for the lower bound of distance between unitary orbits of normal elements.We show that the distance between unitary orbits of normal elements of simple C^(*)-algebras of tracial ra...This paper studies certain estimates for the lower bound of distance between unitary orbits of normal elements.We show that the distance between unitary orbits of normal elements of simple C^(*)-algebras of tracial rank no more than k has a lower bound.Furthermore,if k≤1 and normal elements are commuting,then the lower bound will be better.Another result establishes a connection involving the spectrum distance operator Dc between a C^(*)-algebra of stable rank one C^(*)-algebra and its hereditary C^(*)-subalgebra.展开更多
文摘设H,K是复可分的无穷维Hilbert空间。对给定关系A∈BR(H),B∈BR(K),X∈BR(K,H),记2×2上三角关系矩阵MX=(A X 0 B)∈BR(H⊕K),给出Mx的两类点谱σ_(p,1)(M_(X))和σ_(p,2)(M_(X)),两类剩余谱σ_(r,1)(M_(X))和σ_(r,2)(M_(X))与其对角元A和B的对应谱的并集之间的联系。
文摘In this paper,we present a necessary and sufficient condition for hyponormal block Toeplitz operators T on the vector-valued weighted Bergman space with symbolsΦ(z)=G^(*)(z)+F(z),where F(z)=∑^(N)_(i)=1 A_(i)z^(i)and G(z)=∑^(N)_(i)=1 A_(−i)z^(i),A_(i)ae culants.
基金Supported by Zhejiang Provincial Natural Science Foundation of China(No.ZCLQN25A0103)。
文摘This paper studies certain estimates for the lower bound of distance between unitary orbits of normal elements.We show that the distance between unitary orbits of normal elements of simple C^(*)-algebras of tracial rank no more than k has a lower bound.Furthermore,if k≤1 and normal elements are commuting,then the lower bound will be better.Another result establishes a connection involving the spectrum distance operator Dc between a C^(*)-algebra of stable rank one C^(*)-algebra and its hereditary C^(*)-subalgebra.
