On the best approximation matrix problem for integrable matrix functions |
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Authors: | Defez Emilio and Jódar Lucas |
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Abstract: | In this paper positive definite matrix functionals defined on a set of square integrable matrix valued functions are introduced and studied. The best approximation problem is solved in terms of matrix Fourier series. Riemann-Lebesgue matrix property and a Bessel-Parseval matrix inequality are given. |
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