Splitting of Operators and Operator Equations
Copyright policy )Splitting of Operators and Operator Equations
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 \(TX=XAX\).
- South China Normal University China (People's Republic of)
General (adjoints, conjugates, products, inverses, domains, ranges, etc.), projection, operator equation, Positive linear operators and order-bounded operators, positive operator, Equations involving linear operators, with operator unknowns, Moore-Penrose inverse
General (adjoints, conjugates, products, inverses, domains, ranges, etc.), projection, operator equation, Positive linear operators and order-bounded operators, positive operator, Equations involving linear operators, with operator unknowns, Moore-Penrose inverse
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