On block-supersymmetric polynomials on Banach spaces

• Date: 2025
• Main Authors: Faryma, Dmytro, Kimak, Volodymyr, Kravtsiv, Viktoriia, Zagorodnyuk, Andriy
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2025
• Subjects: symmetric polynomials on Banach spaces; supersymmetric polynomials; block-supersymmetric polynomials; symmetric analytic functions; 46G25; 46H10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2416
• Journal Title: Algebra and Discrete Mathematics

We investigate algebras of block-supersymmetric polynomials on an infinite-dimensional Banach space \(\ell_p(\mathbb{C}^s)\) of absolutely \(p\)-convergent sequences of vectors in \(\mathbb{C}^s,\) and ring structures on the set \(\mathcal{M}_p\) of point evaluation homomorphisms of these algebras....