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The Solution of the Invariant Subspace Problem in Complex Hilbert Space: External non-Archimedean eld *Rc by Cauchy Completion of the internal Non-Archimedean eld *R (Part I)

The Solution of the Invariant Subspace Problem in Complex Hilbert Space: External non-Archimedean eld *Rc by Cauchy Completion of the internal Non-Archimedean eld *R (Part I)

The incompleteness of set theory ZFC leads one to look for natural extensions of ZFC in which one can prove statements wich appear as independent of ZFC but which look to be \true". In this paper we deal with set theory NC\(^{\#}{_\infty}_{\#}\) based on hyper infinitary logic with Restricted Modus …