## Mathematics Faculty Articles

#### Title

Norm Hull of Vectors and Matrices

#### Document Type

Article

#### Publication Date

5-1-1997

#### Publication Title

Linear Algebra and its Applications

#### ISSN

0024-3795

#### Volume

257

#### First Page

1

#### Last Page

27

#### Abstract

Let V be a real or complex finite-dimensional vector space, and let be a set of norms on V. The norm hull of a vector x ∈ V with respect to 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

#### NSUWorks Citation

Li, Chi-Kwong; Tsing, Nam-Kiu; and Zhang, Fuzhen, "Norm Hull of Vectors and Matrices" (1997). *Mathematics Faculty Articles*. 76.

http://nsuworks.nova.edu/math_facarticles/76

#### DOI

10.1016/S0024-3795(96)00099-7

## Comments

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