Continuous block-symmetric polynomials of degree at most two on the space (L∞)2

Authors

  • 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.8.1.38-43

Keywords:

block-symmetric polynomial, symmetric function on L∞
Published online: 2016-06-30

Abstract

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

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How to Cite
(1)
Vasylyshyn, T. Continuous Block-Symmetric Polynomials of Degree at Most Two on the Space (L∞)2. Carpathian Math. Publ. 2016, 8, 38-43.

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