An extremely non-homogeneous weak Hilbert space
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- by Spiros A. Argyros, Kevin Beanland and Theocharis Raikoftsalis PDF
- Trans. Amer. Math. Soc. 364 (2012), 4987-5014 Request permission
Abstract:
We construct a weak Hilbert Banach space such that for every block subspace $Y$ every bounded linear operator on $Y$ is of the form $D+S$, where $S$ is a strictly singular operator and $D$ is a diagonal operator. We show that this yields a weak Hilbert space whose block subspaces are not isomorphic to any of their proper subspaces.References
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Additional Information
- Spiros A. Argyros
- Affiliation: Department of Mathematics, Zografou Campus, National Technical University, Athens 157 80, Greece
- MR Author ID: 26995
- Email: sargyros@math.ntua.gr
- Kevin Beanland
- Affiliation: Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, Virginia 23284
- Email: kbeanland@vcu.edu
- Theocharis Raikoftsalis
- Affiliation: Department of Mathematics, Zografou Campus, National Technical University, Athens 157 80, Greece
- Email: th_raik@hotmail.com
- Received by editor(s): February 7, 2011
- Published electronically: April 6, 2012
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 364 (2012), 4987-5014
- MSC (2010): Primary 46B20, 46B06
- DOI: https://doi.org/10.1090/S0002-9947-2012-05592-9
- MathSciNet review: 2922616