No infinite dimensional ๐‘ƒ space admits a Markuschevich basis

William Buhmann Johnson ยท Proceedings of the American Mathematical Society ยท 1970

Theorem. Let X X be a Banach space. If X X is a Grothendieck space and X X admits a Markuschevich basis then X X is reflexive . This theorem is used to prove the conjecture of J. A. Dyer [1] stated in the title.

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