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We classify all the extreme and exposed bilinear forms of the unit ball of ${\mathcal L}(^2l_{\infty}^3)$ which leads to a complete formula of $\|f\|$ for every $f\in {{\mathcal L}(^2l_{\infty}^3)}^*$. It follows from this formula that every extreme bilinear form of the unit ball of ${\mathcal L}(^2l_{\infty}^3)$ is exposed.
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참고문헌 (31)
참고문헌 신청
R. M. Aron / 2001 / Local properties of polynomials on a Banach space / Illinois J. Math 45(1):25~39
W. Cavalcante / 1603 / Geometry of the closed unit ball of the space of bilinear forms on l21 / arXiv:1603.01535v2
Y. S. Choi / 1998 / The unit ball of P(2l22) / Arch. Math. (Basel) 71(6):472~480
Y. S. Choi / 1998 / Extreme polynomials on c0 / Indian J. Pure Appl. Math 29(10):983~989
Y. S. Choi / 1999 / Smooth points of the unit ball of the space P(2l1) / Results Math 36(1-2):26~33
W. Cavalcante / 1603 / Geometry of the closed unit ball of the space of bilinear forms on l21 / arXiv:1603.01535v2
Y. S. Choi / 1998 / The unit ball of P(2l22) / Arch. Math. (Basel) 71(6):472~480
Y. S. Choi / 1998 / Extreme polynomials on c0 / Indian J. Pure Appl. Math 29(10):983~989
Y. S. Choi / 1999 / Smooth points of the unit ball of the space P(2l1) / Results Math 36(1-2):26~33
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