참고문헌
- F. F. Bonsall and J. Duncan, Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras, London Math. Soc. Lecture Note Ser. 2, Cambridge Univ. Press, (1971).
- F. F. Bonsall and J. Duncan, Numerical Ranges II, London Math. Soc. Lecture Note Ser. 10, Cambridge Univ. Press, (1973).
- H. F. Bohnenblust and S. Karlin, Geometrical properties of the unit sphere in Banach algebra, Ann. of Math., 62(1955), 217-229. https://doi.org/10.2307/1969676
- Y. S. Choi, D. Garcia, S. G. Kim and M. Maestre, The polynomial numerical index of a Banach space, Proc. Edinburgh Math. Soc., 49(2006), 39-52. https://doi.org/10.1017/S0013091502000810
- 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. https://doi.org/10.1112/jlms/2.Part_3.481
- E. Ed-dari, On the numerical index of Banach spaces, Linear Algebra and Appl., 403(2005), 86-96. https://doi.org/10.1016/j.laa.2005.01.012
- C. Finet, M. Martin and R. Paya, Numerical index and renorming, Proc. Amer. Math. Soc., 131(2003), 871-877. https://doi.org/10.1090/S0002-9939-02-06576-0
- B. M. Glickfeld, On an inequality of Banach algebra geometry and semi-inner product space theory, Illinois J. Math., 14(1970), 76-81.
- K. E. Gustafsan and D.K. Rao, Numerical Ranges. The Field of Values of Linear Operators and Matrices, Springer, New York, 1997.
- L. A. Harris, Bounds on the derivatives of holomorphic functions of vectors, Colloque danalyse, Rio de Janeiro, 1972, ed. L. Nachbin Act, Sc. et Ind. no. 1367 (Hermann, 1975), pp.145-163.
- V. Kadets, M. Martin and R. Paya, Recent progress and open questions on the numerical index of Banach spaces, Rev. R. Acad. Cien. Serie A. Mat. 2000, (2006), pp.155-182.
-
S. G. Kim, M. Martin and J. Meri, On the polynomial numerical index of the real spaces
$c_0,\;l_1\;and\;l_{\infty}$ , J. Math. Anal. Appl., 337(2008), 98-106. https://doi.org/10.1016/j.jmaa.2007.03.101 - G. Lumer, Semi-inner-product spaces, Trans. Amer. Math. Soc., 100(1961), 29-43. https://doi.org/10.1090/S0002-9947-1961-0133024-2
- G. Lopez, M. Martin and R. Paya, Real Banach spaces with numerical index 1, Bull. London Math. Soc., 31(1999), 207-212. https://doi.org/10.1112/S002460939800513X
- M. Martin, A servey on the numerical index of Banach space, Extracta Math., 15(2000), 265-276.
- M. Martin and R. Paya, Numerical index of vector-valued function spaces, Studia Math., 142(2000), 269-280.
피인용 문헌
- The Polynomial Numerical Index of Lp(μ) vol.53, pp.1, 2013, https://doi.org/10.5666/KMJ.2013.53.1.117
- Generalized Numerical Index and Denseness of Numerical Peak Holomorphic Functions on a Banach Space vol.2013, 2013, https://doi.org/10.1155/2013/380475
- Numerically hypercyclic polynomials vol.99, pp.5, 2012, https://doi.org/10.1007/s00013-012-0445-4
- Numerically Hypercyclic Operators vol.72, pp.3, 2012, https://doi.org/10.1007/s00020-012-1944-1