@article{Kravtsiv_2020, title={Zeros of block-symmetric polynomials on Banach spaces}, volume={53}, url={http://matstud.org.ua/ojs/index.php/matstud/article/view/32}, DOI={10.30970/ms.53.2.206-211}, abstractNote={<p>We investigate sets of zeros of block-symmetric polynomials on the direct sums of sequence spaces. Block-symmetric polynomials are more general objects than classical symmetric polynomials.<br>An analogues of the Hilbert Nullstellensatz Theorem for block-symmetric polynomials on $\ell_p(\mathbb{C}^n)=\ell_p \oplus \ldots \oplus \ell_p$ and $\ell_1 \oplus \ell_{\infty}$ is proved. Also, we show that if a polynomial $P$ has a block-symmetric zero set then it must be block-symmetric.</p&gt;}, number={2}, journal={Matematychni Studii}, author={Kravtsiv, V.}, year={2020}, month={Jun.}, pages={206-211} }