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

Foukzon, Jaykov (2022) The Solution of the Invariant Subspace Problem. Complex Hilbert Space. External Countable Dimensional Linear spaces Over Field ∗R# . Part II. Journal of Advances in Mathematics and Computer Science, 37 (11). pp. 31-69. ISSN 2456-9968

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Official URL: https://doi.org/10.9734/jamcs/2022/v37i111721

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.

Item Type:	Article
Subjects:	EP Archives > Mathematical Science
Depositing User:	Managing Editor
Date Deposited:	07 Dec 2022 08:54
Last Modified:	03 Jan 2024 06:31
URI:	http://research.send4journal.com/id/eprint/694

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