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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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