The numerical range of an unbounded operator
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- by M. J. Crabb PDF
- Proc. Amer. Math. Soc. 55 (1976), 95-96 Request permission
Abstract:
The numerical range of an unbounded linear operator on a complex Banach space is the whole complex plane.References
- M. J. Crabb and A. M. Sinclair, On the boundary of the spatial numerical range, Bull. London Math. Soc. 4 (1972), 17–19. MR 308815, DOI 10.1112/blms/4.1.17
- J. R. Giles and G. Joseph, The numerical ranges of unbounded operators, Bull. Austral. Math. Soc. 11 (1974), 31–36. MR 370220, DOI 10.1017/S0004972700043598 E. Hille, Generalizations of Landau’s inequality to linear operators, Conf. on Linear Operators and Approximation, Oberwolfach, August 1971. A. N. Kolmogorov, On inequalities between the upper bounds of the successive derivatives of an arbitrary function on an infinite interval, Učen. Zap. Moskov. Gos. Univ. Matematika 30 (1939), 3-13; English transl., Amer. Math. Soc. Transl. (1) 2 (1962), 233-243. MR 1, 298.
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 55 (1976), 95-96
- DOI: https://doi.org/10.1090/S0002-9939-1976-0394244-1
- MathSciNet review: 0394244