A Banach space on which there are few operators
HTML articles powered by AMS MathViewer
- by Saharon Shelah and Juris Steprāns PDF
- Proc. Amer. Math. Soc. 104 (1988), 101-105 Request permission
Abstract:
It is shown that there is a nonseparable Banach space on which every operator has the form $S + \rho I$ where $\rho$ is a scalar and $S$ is an operator with separable range.References
- Saharon Shelah, A Banach space with few operators, Israel J. Math. 30 (1978), no. 1-2, 181–191. MR 508262, DOI 10.1007/BF02760838 —, A graph which embeds all small graphs on any large set of vertices, preprint.
- Saharon Shelah and Juris Steprāns, Extraspecial $p$-groups, Ann. Pure Appl. Logic 34 (1987), no. 1, 87–97. MR 887554, DOI 10.1016/0168-0072(87)90041-8
- Stevo Todorčević, Partitioning pairs of countable ordinals, Acta Math. 159 (1987), no. 3-4, 261–294. MR 908147, DOI 10.1007/BF02392561
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 101-105
- MSC: Primary 46B99; Secondary 03E05, 05C15, 47B37, 47B99
- DOI: https://doi.org/10.1090/S0002-9939-1988-0958051-9
- MathSciNet review: 958051