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An elementary example of a Banach space not isomorphic to its complex conjugate. (English) Zbl 0828.46004

Summary: We give a simple and explicit example of a complex Banach space which is not isomorphic to its complex conjugate, and hence of two real-isomorphic spaces which are not complex-isomorphic.

MSC:

46B03 Isomorphic theory (including renorming) of Banach spaces
46B10 Duality and reflexivity in normed linear and Banach spaces