
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.
block-symmetric polynomial, symmetric function on $L_\infty$, блочно-симетричний поліном, симетрична функція на $L_\infty$, symmetric function on $l_\infty$, (Spaces of) multilinear mappings, polynomials, QA1-939, symmetric function on \(L_\infty\), block-symmetric polynomial, Mathematics
block-symmetric polynomial, symmetric function on $L_\infty$, блочно-симетричний поліном, симетрична функція на $L_\infty$, symmetric function on $l_\infty$, (Spaces of) multilinear mappings, polynomials, QA1-939, symmetric function on \(L_\infty\), block-symmetric polynomial, Mathematics
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