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- Title
NUMERICAL RADIUS POINTS OF A BILINEAR MAPPING FROM THE PLANE WITH THE l<sub>1</sub>-NORM INTO ITSELF.
- Authors
SUNG GUEN KIM
- Abstract
For n ≥ 2 and a Banach space E we let Π(E) = {[x ∗, x1, . . ., xn] : x ∗ (xj ) = ∥x ∗ ∥ = ∥xj∥ = 1 for j = 1, . . ., n}. Let L( nE : E) denote the space of all continuous n-linear mappings from E to itself. An element [x ∗, x1, . . ., xn] ∈ Π(E) is called a numerical radius point of T ∈ L( nE : E) if |x ∗ (T(x1, . . ., xn))| = v(T), where v(T) is the numerical radius of T. Nradius(T) denotes the set of all numerical radius points of T. In this paper we classify Nradius(T) for every T ∈ L( ² l 21 : l 2 1 ) in connection with Norm(T), where Norm(T) denotes the set of all norming points of T.
- Subjects
BILINEAR forms; MULTILINEAR algebra; MATHEMATICS; POLYNOMIALS; ALGEBRA
- Publication
Rad HAZU: Matematicke Znanosti, 2023, Vol 27, p143
- ISSN
1845-4100
- Publication type
Article
- DOI
10.21857/y7v64tvgly