算子的一个广义延拓定理及其应用

• 作 者: 钟怀杰
• 机 构: Department of Mathematics, Fujian Normal University, Fuzhou, 350007
• 出 处: 东北数学（英文版）
• 发表日期: 2001年4期
• 关键词: Banach space operator extension of operator H.I. space

In this note it is shown that every bounded linear operator T ∈ B(Y, Z)defined on a closed subspace Y of a Banach space X admits a generalized extension T ∈ B(X, V). Some examples of the applications are given; especially, a characterization of H.I. spaces is obtained.