On a class of unbounded operator algebras.
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This article is published in Pacific Journal of Mathematics.The article was published on 1976-07-01 and is currently open access. It has received 68 citations till now. The article focuses on the topics: Nest algebra & Unbounded operator.read more
Citations
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Derivations on algebras of measurable operators
TL;DR: In this paper, a survey of recent results concerning derivations on various algebras of measurable operators affiliated with von Neumann algesbras is presented. And a special section is devoted to the Abelian case, namely to the existence of nontrivial derivations.
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The completion of the maximal Op*-algebra on a Frechet domain
TL;DR: In this article, the authors investigated the completion of the maximal Op*-algebra L+ (D) of (possibly) unbounded operators on a dense domain D in a Hilbert space.
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Non-commutative Arens algebras and their derivations
TL;DR: In this paper, it was shown that any derivation of the algebra is inner and all derivations of the algebras are spatial and implemented by elements of the non-commutative Arens algebra.
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Partial *-algebras of closable operators II: states and representations of partial *-algebras
TL;DR: In this paper, a new definition of invariant positive sesquilinear forms on partial *-algebras is proposed, which enables to perform the familiar GNS construction.
References
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Book ChapterDOI
L’intégration dans les groupes topologiques et ses applications (Dédicace et Introduction)
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Self-adjoint algebras of unbounded operators
TL;DR: In this paper, it was shown that a strongly cyclic self-adjoint representation of a commutative *-algebra is standard if and only if the representation is strongly positive, i.e., the representations preserve a certain order relation.