On properties of the second type matrix ball $B_{m,n}^{(2)}$ from space ${\mathbb C}^{n}[m\times m]$

Uktam S. Rakhmonov; Jonibek Sh. Abdullayev

Geodesic

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On properties of the second type matrix ball $B_{m,n}^{(2)}$ from space ${\mathbb C}^{n}[m\times m]$

Uktam S. Rakhmonov ; Jonibek Sh. Abdullayev

Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 3, pp. 329-342

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Résumé

The automorphisms of the matrix ball associated with the classical domains of the second type are described in this paper. The properties of the second type matrix ball $B_{m,n}^{(2)}$ are studied.

Keywords: classical domain, automorphism of the matrix ball, Shilov's boundary.
Mots-clés : matrix ball, volume

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Uktam S. Rakhmonov; Jonibek Sh. Abdullayev. On properties of the second type matrix ball $B_{m,n}^{(2)}$ from space ${\mathbb C}^{n}[m\times m]$. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 3, pp. 329-342. http://geodesic.mathdoc.fr/item/JSFU_2022_15_3_a6/