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.
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van Neerven, J. The Norm of a Complex Banach Lattice. Positivity 1, 381–390 (1997). https://doi.org/10.1023/A:1009772704484
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DOI: https://doi.org/10.1023/A:1009772704484