Rank theorems of operators between Banach spaces

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：buugly

【摘要】

：

Let E and F be Banach spaces, and B( E, F) all of bounded linear operators on E into F. Let T0 ∈ B( E, F) with an outer inverse T0# ∈ B( F, E). Then a charact

【作者】

：

Jipu Ma (1)

【机构】

：

1.DepartmentofMathematics

【出处】

：

中国科学：数学英文版

【发表日期】

：

2000年1期

【关键词】

：

RANK THEOREM generalized INVERSE operator-value map. rank theorem generalized in

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Let E and F be Banach spaces, and B( E, F) all of bounded linear operators on E into F. Let T0 ∈ B( E, F) with an outer inverse T0# ∈ B( F, E). Then a characteristic condition of S= (I + T0# ( T- T0))-1 T0# with T∈ B( E, F) and || T0# ( T- T0) || 【 1, bei

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Rank theorems of operators between Banach spaces

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