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

T. V. Vasylyshyn

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.


Keywords


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

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