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초록
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. © 2022 Authors. All rights reserved.
키워드
Norming points; numerical radius; numerical radius attaining mappings; numerical radius peak multilinear mappings; numerical radius points
- 제목
- NUMERICAL RADIUS POINTS OF L(ml∞n : l∞n )
- 저자
- Kim, Sung-guen
- DOI
- 10.53733/179
- 발행일
- 2022
- 유형
- Article
- 저널명
- New Zealand Journal of Mathematics
- 권
- 53
- 페이지
- 1 ~ 10
- 언어
- ENG
- 출판사
- New Zealand Mathematical Society and Department of Mathematics, University of Auckland
- 발행국가
- 뉴질랜드
- 분량
- 10 페이지
- ISSN
- P 1179-4984