Approximation by positive operators

Bhatia, Rajendra ; Kittaneh, Fuad (1992) Approximation by positive operators Linear Algebra and its Applications, 161 . pp. 1-9. ISSN 0024-3795

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Official URL: http://dx.doi.org//10.1016/0024-3795(92)90001-Q

Related URL: http://dx.doi.org/10.1016/0024-3795(92)90001-Q

Abstract

If A = B + iC is a normal operator, where B, C are Hermitian, then in each unitarily invariant norm, the positive part of B is a best approximation to A from the class of positive operators. This generalizes results proved earlier by P. R. Halmos, T. Ando, and R. Bouldin for special norms. Some related results are included.

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