The Solution of the Invariant Subspace Problem.  Complex Hilbert space. Part I.External non-Archimedean field {∗}^ℝ{c}^{#} by Cauchy completion of the internal non-Archimedean field {∗}^ℝ.

Jaykov Foukzon

The Solution of the Invariant Subspace Problem. Complex Hilbert space. Part I.External non-Archimedean field {∗}^ℝ_{c}^{#} by Cauchy completion of the internal non-Archimedean field {∗}^ℝ.

Journal of Advances in Mathematics and Computer Science 37 (10):51-89 (2022) Copy BIBT_EX

Abstract

Our main result will be that: if T is a bounded linear operator on an infinite-dimensional separable complex Hilbert space H,it follow that T has a non-trivial closed invariant subspace.

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Jaykov Foukzon

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First archival date: 2022-03-10
Latest version: 1 (2022-11-24)
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Keywords

Set theory ZFC non-conservative extension of ZFC internal set theory IST external set theory HST A. Robinson model theoretical NSA bivalent gyper infinitary logic modus ponens rule logic with restricted modus ponens rule internal non-archimedean field invariant subspce problem.

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