Year: 2024
Type: article
Abstract: We investigate the algebraic and topological properties of sets of complex multisets associated with Banach spaces having symmetric bases. We consider algebraic structures on the sets of multisets and compare some natural metrics on the (semi)groups of multisets. Also, we construct nonlinear analogs of the weighted backward shift operator on metric spaces of multisets, establish conditions of topological transitivity, and prove an analog of the Topological Transitivity Criterion for metric semigroups.
Source: Researches in Mathematics
DOI: 10.15421/242430
Authors: D.Y. Dolishniak, A.V. Zagorodnyuk
Institution: Vasyl Stefanyk Carpathian National University
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $20
OpenAlex ID: W4407640212