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

T.V. Vasylyshyn

doi:10.15330/cmp.6.1.8-10

Skip to main content Skip to main navigation menu Skip to site footer

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.

Article

References

Article metrics

PDF downloads: 83
Abstract views: 414

How to Cite

(1)

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

Download Citation

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

Abstract

Most read articles by the same author(s)