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초록
For n >= 2, we show that every extreme point of the unit ball of L-s((2)l(infinity)(n)) is extreme in L-s((2)l(infinity)(n+1)), which answers the question in [Period. Math. Hungar. 2018, 77 (2), 274-290]. As a corollary we show that every extreme point of the unit ball of L-s((2)l(infinity)(n)) is extreme in L-s((2)l(infinity)). We also show that every extreme point of the unit ball of P((2)l(infinity)(2)) is extreme in P((2)l(infinity)(n)). As a corollary we show that every extreme point of the unit ball of P((2)l(infinity)(2)) is extreme in P((2)l(infinity)).
키워드
extreme point; symmetric bilinear form; 2-homogeneous polynomials on l(infinity); EXPOSED 2-HOMOGENEOUS POLYNOMIALS; UNIT BALL; BILINEAR-FORMS; HOMOGENEOUS POLYNOMIALS; MULTILINEAR FORMS; SUPREMUM NORMS; GEOMETRY; SPACES; POLARIZATION
- 제목
- Extreme points of Ls(2l∞) and P(2l∞)
- 저자
- Guen, Kim Sung
- 발행일
- 2021
- 유형
- Article
- 권
- 13
- 호
- 2
- 페이지
- 289 ~ 297
- 언어
- ENG
- 출판사
- VASYL STEFANYK PRECARPATHIAN NATL UNIV
- 발행국가
- 우크라이나
- 분량
- 9 페이지
- ISSN
- E 2313-0210
P 2075-9827