NUMERICAL RADIUS POINTS OF L(ml∞n : l∞n )

Sung Guen Kim

doi:10.53733/179

NUMERICAL RADIUS POINTS OF L(^ml_∞ⁿ : l_∞ⁿ )

Sung Guen Kim

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

For n ≥ 2 and a real Banach space E, L(ⁿE : E) denotes the space of all continuous n-linear mappings from E to itself. Let (Fomula Presented) where v(T) denotes the numerical radius of T. T is called numerical radius peak mapping if there is (Fomula Presented) that satisfies Nrad (Fomula Presented) . In this paper we classify Nrad(T) for every (Fomula Presented) in connection with the set of the norm attaining points of T. We also characterize all numerical radius peak mappings in (Fomula Presented) with the supremum norm.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	New Zealand Journal of Mathematics
Volume	53
DOIs	https://doi.org/10.53733/179
State	Published - 2022

Keywords

Norming points
numerical radius
numerical radius attaining mappings
numerical radius peak multilinear mappings
numerical radius points

Access to Document

10.53733/179

Cite this

@article{46dab9ccfe4c40128de576eb992c08a2,

title = "NUMERICAL RADIUS POINTS OF L(ml∞n : l∞n )",

abstract = "For n ≥ 2 and a real Banach space E, L(nE : E) denotes the space of all continuous n-linear mappings from E to itself. Let (Fomula Presented) where v(T) denotes the numerical radius of T. T is called numerical radius peak mapping if there is (Fomula Presented) that satisfies Nrad (Fomula Presented) . In this paper we classify Nrad(T) for every (Fomula Presented) in connection with the set of the norm attaining points of T. We also characterize all numerical radius peak mappings in (Fomula Presented) with the supremum norm.",

keywords = "Norming points, numerical radius, numerical radius attaining mappings, numerical radius peak multilinear mappings, numerical radius points",

author = "Kim, \{Sung Guen\}",

year = "2022",

doi = "10.53733/179",

language = "English",

volume = "53",

pages = "1--10",

journal = "New Zealand Journal of Mathematics",

issn = "1179-4984",

publisher = "New Zealand Mathematical Society and Department of Mathematics, University of Auckland",

}

TY - JOUR

T1 - NUMERICAL RADIUS POINTS OF L(ml∞n : l∞n )

AU - Kim, Sung Guen

PY - 2022

Y1 - 2022

N2 - For n ≥ 2 and a real Banach space E, L(nE : E) denotes the space of all continuous n-linear mappings from E to itself. Let (Fomula Presented) where v(T) denotes the numerical radius of T. T is called numerical radius peak mapping if there is (Fomula Presented) that satisfies Nrad (Fomula Presented) . In this paper we classify Nrad(T) for every (Fomula Presented) in connection with the set of the norm attaining points of T. We also characterize all numerical radius peak mappings in (Fomula Presented) with the supremum norm.

AB - For n ≥ 2 and a real Banach space E, L(nE : E) denotes the space of all continuous n-linear mappings from E to itself. Let (Fomula Presented) where v(T) denotes the numerical radius of T. T is called numerical radius peak mapping if there is (Fomula Presented) that satisfies Nrad (Fomula Presented) . In this paper we classify Nrad(T) for every (Fomula Presented) in connection with the set of the norm attaining points of T. We also characterize all numerical radius peak mappings in (Fomula Presented) with the supremum norm.

KW - Norming points

KW - numerical radius

KW - numerical radius attaining mappings

KW - numerical radius peak multilinear mappings

KW - numerical radius points

UR - https://www.scopus.com/pages/publications/85129657783

U2 - 10.53733/179

DO - 10.53733/179

M3 - Article

AN - SCOPUS:85129657783

SN - 1179-4984

VL - 53

SP - 1

EP - 10

JO - New Zealand Journal of Mathematics

JF - New Zealand Journal of Mathematics

ER -

NUMERICAL RADIUS POINTS OF L(^ml_∞ⁿ : l_∞ⁿ )

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this