The Solution of the Invariant Subspace Problem. Complex Hilbert Space. External Countable Dimensional Linear spaces Over Field *Rc#. Part II.

Journal of Advances in Mathematics and Computer Science 37 (11): 31-69 (2022)
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Abstract

We present a new approach to the invariant subspace problem for complex Hilbert spaces.This approach based on nonconservative Extension of the Model Theoretical NSA. Our main result will be that: if T is a bounded linear operator on an infinite-dimensional complex separable Hilbert space H,it follow that T has a non-trivial closed invariant subspace.

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Set theory with a Filter quantifier.Matt Kaufmann - 1983 - Journal of Symbolic Logic 48 (2):263-287.

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