DOAJ Open Access 2025

Waring-Girard formulas for block-symmetric and block-supersymmetric polynomials

V. V. Kravtsiv P. Y. Dolishniak R. Y. Stakhiv

Abstrak

This paper investigates the structure and properties of block-symmetric and block-super\-symmetric polynomials in Banach spaces. The study extends classical symmetric polynomial results to infinite-dimensional settings, particularly in sequence spaces such as $\ell_p(\mathbb{C}^s),$ $1\leq p<\infty$ and spaces of two-sided absolutely summing series of vectors in $\mathbb{C}^s$ for some positive integer $s>1.$ In this paper, we derive analogs of the Waring-Girard formulas for block-symmetric and block-supersymmetric polynomials and explore their combinatorial applications.

Topik & Kata Kunci

Mathematics

Penulis (3)

V. V. Kravtsiv

P. Y. Dolishniak

R. Y. Stakhiv

Format Sitasi

APA MLA BibTeX

Kravtsiv, V.V., Dolishniak, P.Y., Stakhiv, R.Y. (2025). Waring-Girard formulas for block-symmetric and block-supersymmetric polynomials. https://doi.org/10.30970/ms.63.2.210-220

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Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.30970/ms.63.2.210-220
Akses: Open Access ✓