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


symmetric linear functional
Published online: 2014-07-19


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