Norm hull of vectors and matrices

Autor: Fuzhen Zhang, Chi-Kwong Li, Nam-Kiu Tsing
Rok vydání: 1997
Předmět:
Zdroj: Linear Algebra and its Applications. 257:1-27
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(96)00099-7
Popis: Let V be a real or complex finite-dimensional vector space, and let N be a set of norms on V. The norm hull of a vector x ∈ V with respect to N is the set of vectors y ∈ V that satisfy ∥y∥ ≤ ∥x∥ for all ∥ · ∥ ∈ N. We study and give characterization of the norm hull for some sets of well-known norms on general vector spaces, and for the set of algebra norms and the set of induced norms on the algebra of n × n real or complex matrices.
Databáze: OpenAIRE