Multiplication of closed balls in C^n

Beites, Patrícia Damas; Nicolás, Alejandro; Vitoria, Jose

http://hdl.handle.net/10400.6/19691

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Autores

Beites, Patrícia Damas

Nicolás, Alejandro

Vitoria, Jose

Resumo(s)

Motivated by circular complex interval arithmetic, some operations on closed balls in Cn are considered. Essentially, the properties of possible multiplications for closed balls in Cn, related either to the Hadamard product of vectors or to the 2-fold vector cross product when n ∈ {3, 7}, are studied. In addition, certain equations involving the defined multiplications are solved.

Palavras-chave

Closed ball multiplication 2-fold vector cross product Hadamard product of vectors

URI

http://hdl.handle.net/10400.6/19691

Citação

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