Subspaces of $L_p$ with more than one complex structure
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Abstract:
We propose a method of constructing explicit Banach spaces not isomorphic to their complex conjugates as subspaces of a natural class of Banach spaces. In particular, it is shown that $L_p$, for $1\leq p<2$, contains real subspaces with at least two non-isomorphic complex structures.References
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Additional Information
- Razvan Anisca
- Affiliation: Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
- MR Author ID: 621000
- Email: anisca@math.ualberta.ca
- Received by editor(s): July 17, 2001
- Received by editor(s) in revised form: April 3, 2002
- Published electronically: January 28, 2003
- Additional Notes: This work was supported by an Izaak Walton Killam Memorial Scholarship at the University of Alberta
- Communicated by: David R. Larson
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2819-2829
- MSC (2000): Primary 46B20
- DOI: https://doi.org/10.1090/S0002-9939-03-06858-8
- MathSciNet review: 1974339