Operator Matrix Forms of Positive Operators

数学季刊 ›› 1992, Vol. 7 ›› Issue (4): 9-12.

Operator Matrix Forms of Positive Operators

Department of Mathematics Shanxi Normal University,,Xian 710062

收稿日期:1990-05-14 出版日期:1992-12-30 发布日期:2025-06-17
基金资助:
The subject supported by NSF of China.

Operator Matrix Forms of Positive Operators

Department of Mathematics Shanxi Normal University,,Xian 710062

Received:1990-05-14 Online:1992-12-30 Published:2025-06-17
Supported by:
The subject supported by NSF of China.

摘要/Abstract

摘要： If a 3-tuple （A:H₁→H₁,B:H₂→H1,C:H₂→H₂） of operators on Hilbert spaces is given,we proved that the operator ... is the generalized inverse of A. In general,A+ is a closed operator,but since ... is bounded yet.

关键词: , positive operator, range of operator

Abstract: If a 3-tuple （A:H₁→H₁,B:H₂→H1,C:H₂→H₂） of operators on Hilbert spaces is given,we proved that the operator ... is the generalized inverse of A. In general,A+ is a closed operator,but since ... is bounded yet.

Key words: , positive operator, range of operator

杜鸿科. Operator Matrix Forms of Positive Operators[J]. 数学季刊, 1992, 7(4): 9-12.

Du Hongke. Operator Matrix Forms of Positive Operators[J]. Chinese Quarterly Journal of Mathematics, 1992, 7(4): 9-12.

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Operator Matrix Forms of Positive Operators

Operator Matrix Forms of Positive Operators

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