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
We study the split common solution problem with multiple output sets for monotone operator equations in Hilbert spaces.To solve this problem,we propose two new parallel algorithms.We establish a weak convergence theor...We study the split common solution problem with multiple output sets for monotone operator equations in Hilbert spaces.To solve this problem,we propose two new parallel algorithms.We establish a weak convergence theorem for the first and a strong convergence theorem for the second.展开更多
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
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 the Science and Technology Fund of TNU-Thai Nguyen University of Science.
文摘We study the split common solution problem with multiple output sets for monotone operator equations in Hilbert spaces.To solve this problem,we propose two new parallel algorithms.We establish a weak convergence theorem for the first and a strong convergence theorem for the second.
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。
