Elementary operators on strongly double triangle subspace
Release time:2024-08-09
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- Affiliation of Author(s):
- 理学院
- Journal:
- Linear Algebra and its Applications
- Key Words:
- 中文关键字:满射初等算子;二秩算子;双三角子空间格,英文关键字:Surjective elementary operator;Rank two operator;D
- Abstract:
- 设Di是Banach空间Xi上的一个强双三角子空间格, 其中i = 1, 2. 如果算子对(M,M*)是Alg D1 XAlg D2上的一个满射初等算子 , 则存在稠定义的从D(T)到X2的线性算子T及从D(S)到X1的线性算子S,且满足 A1R(S) < D(T) 和A2R(T) < D(S) ,对所有A1 ∈ AlgD1, A2 ∈ AlgD2使得M(A1)y = TA1Sy, y ∈ D(S) 且M (A2)x = SA2Tx, x ∈ D(T).
- Note:
- 庞永锋
- First Author:
- yangwei,pangyongfeng
- Indexed by:
- Journal paper
- Volume:
- 卷:433
- Issue:
- 期:
- Page Number:
- 页:1678-1685
- Translation or Not:
- no
- Date of Publication:
- 2010-08-01
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