논문KCI 등재
Extreme Bilinear Forms of L(2d*(1,w)2)
2
조회
0
다운로드
11
인용
0
참고문헌
키워드
주제분류수학
초록
First we present the explicit formula for the norm of a bilinear form on the2-dimensional real predual of the Lorentz sequence space d*(1,w)2. Using this formula,we classify the extreme points of the unit ball of L(2d*(1,w)2).
Abstract
First we present the explicit formula for the norm of a bilinear form on the2-dimensional real predual of the Lorentz sequence space d*(1,w)2. Using this formula,we classify the extreme points of the unit ball of L(2d*(1,w)2).
참고문헌 (20)
- R. M. Aron, "Local properties of polynomials on a Banach space", Illinois J. Math, 45, pp.25~39 (2001)
- Y. S. Choi, "Extreme polynomials and multilinear forms on l1", J. Math. Anal. Appl, 228, pp.467~482 (1998)
- Y. S. Choi, "The unit ball of P(2l2 2)", Arch. Math, 71, pp.472~480 (1998)
- Y. S. Choi, "Extreme polynomials on c0", Indian J. Pure Appl. Math, 29, pp.983~989 (1998)
- Y. S. Choi, "Smooth points of the unit ball of the space P(2l1)", Results Math, 36, pp.26~33 (1999)
- Y. S. Choi, "Exposed points of the unit balls of the spaces P(2l2p ) (p = 1; 2;1)", Indian J. Pure Appl. Math, 35, pp.37~41 (2004)
- S. Dineen, "Complex Analysis on In nite Dimensional Spaces" (1999), Springer-Verlag
- S. Dineen, "Extreme integral polynomials on a complex Banach space", Math. Scand, 92, pp.129~140 (2003)
- B. C. Grecu, "Geometry of 2-homogeneous polynomials on lp spaces, 1 < p < 1", J. Math. Anal. Appl, 273, pp.262~282 (2002)
- B. C. Grecu, "Unconditional con- stants and polynomial inequalities", J. Approx. Theory, 161, pp.706~722 (2009)
- S. G. Kim, "Exposed 2-homogeneous polynomials on P(2l2p ) (1 p 1)", Math. Proc. Royal Irish Acad, 107A, pp.123~129 (2007)
- S. G. Kim, "The unit ball of Ls(2l21 )", Extracta Math, 24, pp.17~29 (2009)
- S. G. Kim, "The unit ball of P(2d(1;w)2)", Math. Proc. Royal Irish Acad, 111A, pp.79~94 (2011)
- 김성권, "The Unit Ball of Ls(2d*(1,w)2)", Kyungpook Mathematical Journal, 53(2), pp.295~306 (2013), 경북대학교 자연과학대학 수학과
- S. G. Kim, "Smooth polynomials of P(2d(1;w)2)", Math. Proc. Royal Irish Acad, 113A, pp.45~58 (2013)
- S. G. Kim, "Exposed 2-homogeneous polynomials on Hilbert spaces", Proc. Amer. Math. Soc, 131, pp.449~453 (2003)
- J. Lee, "Properties of symmetric matrices", J. Math. Anal. Appl, 305, pp.219~226 (2005)
- G. A. Munoz-Fernandez, "Geometry of ho- mogeneous polynomials on non symmetric convex bodies", Math. Scand, 105, pp.147~160 (2009)
- G. A. Munoz-Fernandez, "Geometry of Banach spaces of trinomials", J. Math. Anal. Appl, 340, pp.1069~1087 (2008)
- R. A. Ryan, "Geometry of spaces of polynomials", J. Math. Anal. Appl, 221, pp.698~711 (1998)
관련 논문AI추천
The Unit Ball of Ls(2d*(1,w)2)김성권경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제2호Exposed Bilinear Forms of L(2d*(1,w)2)김성권경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호The Geometry of the Space of Symmetric Bilinear Forms on R2 with Octagonal Norm김성권경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호The unit ball of the space of bilinear forms on $\mathbb{R}^3$ with the supremum normSung Guen Kim대한수학회 · 대한수학회논문집2019 · 제34권 제2호The Geometry of L(2l_{infty}^2)김성근경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제1호Extreme points of the space ${\mathcal L}(^2l_{\infty})$김성권대한수학회 · 대한수학회논문집2020 · 제35권 제3호
이 간행물의 다른 논문 (13건)
On the Invariance of Primitive Ideals via ϕ-derivations on Banach Algebras정용수pp. 497-505Some New Application of Power Increasing SequencesWaad Sulaimanpp. 507-513On G-invariant Minimal Hypersurfaces with Constant Scalar Curvatures in S5소재업pp. 515-540Zeros and Uniqueness of Difference Polynomials of Meromorphic FunctionsXiaoguang Qi, Jia Doupp. 541-552Some Identities Involving Euler Polynomials Arising from a Non-linear Differential Equation김태균, 임석훈, 정주희, 박진우pp. 553-563