On the norms of polynomials of two adjoint projections and a shift (Q1125290)
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scientific article; zbMATH DE number 1374989
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the norms of polynomials of two adjoint projections and a shift |
scientific article; zbMATH DE number 1374989 |
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On the norms of polynomials of two adjoint projections and a shift (English)
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15 February 2000
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The polynomials \(F(P,P^*,V)\) of two projections \(P\), \(P^*\) and a selfadjoint involution \(V\) acting in Hilbert space with relations \(V^2= I\), \(Pv= V(I-P)\) are investigated. A method of calculation of the norms for the studied polynomials is given depending only on \(\|P\|\) and \(\|V\|\). The presented theory is illustrated by three examples.
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polynomials
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projections
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selfadjoint involution
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calculation of the norms
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0.8913671970367432
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0.8865704536437988
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0.8789352178573608
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