Splitting of operators and operator equations (Q6113507)
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scientific article; zbMATH DE number 7724359
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Splitting of operators and operator equations |
scientific article; zbMATH DE number 7724359 |
Statements
Splitting of operators and operator equations (English)
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9 August 2023
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In this paper, the writers consider the question of the factorization of an operator \(T\in B(H)\) into the product of two positive operators \(A\) and \(X\), i.e., \(T=AX\). Their results are then linked to the solvability of the operator equations \(T=XAX\) and \(TX=XAX\).
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projection
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positive operator
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operator equation
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Moore-Penrose inverse
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