Numerical radius-attaining operators on $C(K)$
HTML articles powered by AMS MathViewer
- by Carmen Silvia Cardassi PDF
- Proc. Amer. Math. Soc. 95 (1985), 537-543 Request permission
Abstract:
Using a construction due to Johnson and Wolfe, we show that the numerical radius-attaining operators from $C(K)$ into itself are dense in the space of all operators, where $K$ is a compact Hausdorff space.References
- I. D. Berg and Brailey Sims, Denseness of operators which attain their numerical radius, J. Austral. Math. Soc. Ser. A 36 (1984), no. 1, 130–133. MR 720006, DOI 10.1017/S1446788700027385 N. Dunford and J. T. Schwartz, Linear operators. I, Interscience, New York, 1958.
- Jerry Johnson and John Wolfe, Norm attaining operators, Studia Math. 65 (1979), no. 1, 7–19. MR 554537, DOI 10.4064/sm-65-1-7-19
- Joram Lindenstrauss, On operators which attain their norm, Israel J. Math. 1 (1963), 139–148. MR 160094, DOI 10.1007/BF02759700
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 537-543
- MSC: Primary 47B99; Secondary 47D15
- DOI: https://doi.org/10.1090/S0002-9939-1985-0810159-1
- MathSciNet review: 810159