Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3471
Abstract
Motivated by circular complex interval arithmetic, some operations on closed balls in $\mathbb{C}^n$ are considered. Essentially, the properties of possible multiplications for closed balls in $\mathbb{C}^n$, related either to the Hadamard product of vectors or to the $2$-fold vector cross product when $n \in \{3, 7\}$, are studied. In addition, certain equations involving the defined multiplications are solved.
Keywords
Closed ball, multiplication, $2$-fold vector cross product, Hadamard product of vectors
First Page
1899
Last Page
1914
Recommended Citation
BEITES, PATRÍCIA DAMAS; NICOLÁS, ALEJANDRO PIÑERA; and VITÓRIA, JOSÉ DA SILVA LOURENÇO
(2023)
"Multiplication of closed balls in $\mathbb{C}^n$,"
Turkish Journal of Mathematics: Vol. 47:
No.
7, Article 5.
https://doi.org/10.55730/1300-0098.3471
Available at:
https://journals.tubitak.gov.tr/math/vol47/iss7/5
