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 等距算子 添加此单词到默认生词本
isometric operator

  1. 摘要利用算子的几何秩在线性等距映射下不变的性质研究了套代数弱闭模中紧算子空间的线性等距离映射,最后得到其空间实现形式。
    This paper applied the character that linear subjective isometries preserve the geometric rank of a operator to characterize the onto isometries between compact operators space in weakly closed modules of nest algebras, and obtained the expressions of the isomtries.
  2. 摘要构造了一类基于等距结点组上的二元三角插值多项式算子,使得该算子在全平面上一致收敛到每个以2π为周期的二元连续函数,并且对具有任意阶连续偏导数的函数全体的逼近具有最佳收敛阶。
    A kind of operator of trigonometric interpolation polynomials with bivariate product was constructed based on an equidistant node set, so that the operator could be converged uniformly to bivariate continuous functions with periodicity of 27π on whole plane, and the convergence order of the approximation would be optimal for a body of functions with arbitrary-ordered continuous partial deritives.



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