Symmetric continuous linear functionals on complex space $L_\infty[0,1]$

T.V. Vasylyshyn

doi:10.15330/cmp.6.1.8-10

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Symmetric continuous linear functionals on complex space $L_\infty[0,1]$

T.V. Vasylyshyn Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine https://orcid.org/0000-0001-9055-6341

https://doi.org/10.15330/cmp.6.1.8-10

Keywords: symmetric linear functional

Published online: 2014-07-19

Abstract

We prove that every symmetric continuous linear functional on the complex space $L_\infty[0,1]$ can be represented as a Lebesgue integral multiplied by a constant.

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Vasylyshyn T. Symmetric Continuous Linear Functionals on Complex Space $L_\infty[0,1]$. Carpathian Math. Publ. 2014, 6 (1), 8-10.

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Symmetric continuous linear functionals on complex space $L_\infty[0,1]$

Abstract

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