Innerness of Continuous Derivations on Algebras of Measurable Operators Associated with Finite Real W*-Algebras

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DOI: https://doi.org/10.28924/2291-8639-24-2026-272
Published: Aug 24, 2026
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Ulugbek Karimov, Khasanbek Nazarov, Innerness of Continuous Derivations on Algebras of Measurable Operators Associated with Finite Real W*-Algebras, Int. J. Anal. Appl., 24 (2026), 272.

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Ulugbek Karimov, Khasanbek Nazarov

Abstract

Derivations on algebras of measurable, locally measurable, and \(\tau\)-measurable operators associated with real type I von Neumann algebras are investigated. By carefully adapting the methods from the complex case and taking into account the specific algebraic and topological features of real operator algebras, a complete characterization of all derivations on the algebras under consideration is obtained. These results generalize known theorems for complex von Neumann algebras to the real setting and contribute to a deeper understanding of derivations on algebras of unbounded operators associated with real operator algebras.

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