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A Theorem for Generalized Extension of Operators and Some Applications
作者姓名:钟怀杰
作者单位:ZHONG Huaijie(钟怀杰)(Department of Mathematics,Fujian Normal University,Fuzhou,350007)
基金项目:The NSF (1977l017, 10l71014) of China.
摘    要:In this note it is shown that every bounded linear operator T Э B(Y,Z)defined on a closed subspace Y of a Banach space X admits a generalized extension T Э B(X, V). Some examples of the applications are given; especially, a characterization of H.I. spaces is obtained.

关 键 词:巴拿赫空间  算子展开式  H.I.空间  有限维度  连续线性函数

A Theorem for Generalized Extension ofOperators and Some Applications
ZHONG Huaijie.A Theorem for Generalized Extension of Operators and Some Applications[J].Northeastern Mathematical Journal,2001,17(4):469-475.
Authors:ZHONG Huaijie
Institution:DepartmentofMathematics,FujianNormalUniversity,Fuzhou,350007
Abstract:
Keywords:Banach space  operator  extension of operator  H  I  space
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