A Commutative and Compact Derivations for W* Algebras

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Abdelgabar Adam Hassan, Mohammad Jawed, A Commutative and Compact Derivations for W* Algebras, Int. J. Anal. Appl., 18 (4) (2020), 644-662.

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Abdelgabar Adam Hassan, Mohammad Jawed

Abstract

In this paper, we study the compact derivations on W* algebras. Let M be W*-algebra, let LS(M) be algebra of all measurable operators with M, it is show that the results in the maximum set of orthogonal predictions. We have found that W* algebra A contains the Center of a W* algebra ß and is either a commutative operation or properly infinite. We have considered derivations from W* algebra two-sided ideals.

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