Turkish Journal of Mathematics
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.
DOI
10.55730/1300-0098.3471
Keywords
Closed ball, multiplication, $2$-fold vector cross product, Hadamard product of vectors
First Page
1899
Last Page
1914
Recommended Citation
BEITES, P. D, NICOLÁS, A. P, & VITÓRIA, J. D (2023). Multiplication of closed balls in $\mathbb{C}^n$. Turkish Journal of Mathematics 47 (7): 1899-1914. https://doi.org/10.55730/1300-0098.3471