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


  • T.V. Vasylyshyn Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine


block-symmetric polynomial, symmetric function on $L_\infty$
Published online: 2016-06-30


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