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On linear combinations of generalized projectors - MaRDI portal

On linear combinations of generalized projectors (Q1883302)

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scientific article; zbMATH DE number 2105727
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English
On linear combinations of generalized projectors
scientific article; zbMATH DE number 2105727

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    On linear combinations of generalized projectors (English)
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    4 October 2004
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    An \(n\times n\) complex matrix \(G\) is called a generalized projector if \(G^2=G^*\), where \(G^*\) denotes the conjugate transpose of \(G\). The authors establish a complete solution to the problem of when a linear combination of two different generalized projectors is also a generalized projector.
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    idempotent matrix
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    quadripotent matrix
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    partial isometry
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    projector
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    orthogonal projector
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