Continuous block-symmetric polynomials of degree at most two on the space $(L_\infty)^2$

Authors

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

DOI:

https://doi.org/10.15330/cmp.8.1.38-43

Keywords:

block-symmetric polynomial, symmetric function on $L_\infty$

Abstract

We introduce block-symmetric polynomials on $(L_\infty)^2$ and prove that every continuous block-symmetric polynomial of degree at most two on $(L_\infty)^2$ can be uniquely represented by some "elementary" block-symmetric polynomials.

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Published

2016-06-30

How to Cite

(1)
Vasylyshyn, T. Continuous Block-Symmetric Polynomials of Degree at Most Two on the Space $(L_\infty)^2$. Carpathian Math. Publ. 2016, 8, 38-43.

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Section

Scientific articles

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