References
- R. Aron and P. Berner, A Hahn-Banach extension theorem for analytic functions, Bull. Soc. Math. France 106 (1978), 3–24.
- B. Bolloba´s, An extension to the theorem of Bishop and Phelps, Bull. London Math. Soc. 2 (1970), 181–182.
- F.F. Bonsall and J. Duncan, Numerical Ranges II, London Math. Soc. Lecture Note Ser., Vol. 10, Cambridge Univ. Press, Cambridge, 1973.
- Y.S. Choi, D. Garc´ıa, S.G. Kim and M. Maestre, Norm or numerical radius attaining mappings on C(K), J. Math. Anal. Appl. 295 (2004), 80–96.
- Y.S. Choi, D. Garc´ıa, S.G. Kim and M. Maestre, The polynomial numerical index of a Banach space, Proc. Edinburgh Math. Soc. 49 (2006), 39–52.
- Y.S. Choi, D. Garc´ıa, S.G. Kim and M. Maestre, Composition, numerical range and Aron-Berner extension, Math. Scand. 103 (2008), 97–110.
- Y.S. Choi and S.G. Kim, Norm or numerical radius attaining multilinear mappings and polynomials, J. London Math. Soc. 54 (1996), 135–147.
- S. Dineen, Complex analysis on infinite dimensional spaces, Springer-Verlag, London, 1999.
- J. Duncan, C.M. McGregor, J.D. Pryce and A.J. White, The numerical index of a normed space, J. London Math. Soc. 2 (1970), 481–488.
- C. Finet, M. Mart´ın and R. Paya´, Numerical index and renorming, Proc. Amer. Math. Soc. 131 (2003), 871–877.
- L.A. Harris, Bounds on the derivatives of holomorphic functions of vectors, Analyse fonctionnelle et applications, Actualit´es Sci. Indust., no. 1367, pp. 145–163, Hermann, Paris, 1975.
- S.G. Kim, Three kinds of numerical indices of a Banach space, Math. Proc. Royal Irish Acad. 112A (2012), 21–35.
- S.G. Kim, M. Martin and J. Meri, On the polynomial numerical index of the real spaces c0, l1 and l∞, J. Math. Anal. Appl. 337 (2008), 98–106.
- H.J. Lee, Banach spaces with the polynomial numerical index 1, Bull. London Math. Soc. 40 (2008), 193–198.
- J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces, Lecture Notes in Math., Vol. 338, Springer-Verlag, Berlin/New York, 1973.
- G. López, M. Mart´ın and R. Paya´, Real Banach spaces with numerical index 1, Bull. London Math. Soc. 31 (1999), 207–212.
- G. Lumer, Semi-inner-product spaces, Trans. Amer. Math. Soc. 100, (1961), 29–43.
- M. Mart´ın and R. Paya´, Numerical index of vector-valued function spaces, Studia Math. 142 (2000), 269–280.
- I. Sarantopoulos, Estimates for polynomial norms on Lp(µ) spaces, Math. Proc. Cambridge Phil. Soc. 99 (1986), 263–271.