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The Norm of a Complex Banach Lattice |
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| Authors: | van Neerven JMAM |
| Institution: | (1) Department of Mathematics, TU Delft, P.O. Box 5031, 2600 GA Delft, The Netherlands |
| Abstract: | In this note we study the problem how the complexification of a real Banach space can be normed in such a way that it becomes a complex Banach space from the point of view of the theory of cross-norms on tensor products of Banach spaces. In particular we show that the norm of a complex Banach lattice can be interpretated in terms of the l-tensor product of real Banach lattices. |
| Keywords: | Complexification of Banach space cross-norm Banach lattice l-tensor product cone absolutely summing operator operator ideal |
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