Algebras of unbounded operators over the ring of measurable functions and their derivations and automorphisms

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dc.creatorAlbeverio, S.
dc.creatorAyupov, Sh. A.
dc.creatorZaitov, A. A.
dc.creatorRuziev, J. E.
dc.date2007-10-31
dc.date.accessioned2026-07-07T08:39:42Z
dc.date.available2026-07-07T08:39:42Z
dc.descriptionIn the present paper derivations and *-automorphisms of algebras of unbounded operators over the ring of measurable functions are investigated and it is shown that all L^0-linear derivations and L^{0}-linear *-automorphisms are inner. Moreover, it is proved that each L^0-linear automorphism of the algebra of all linear operators on a bo-dense submodule of a Kaplansky-Hilbert module over the ring of measurable functions is spatial.
dc.identifierhttps://arxiv.org/abs/0710.5839
dc.identifierhttp://arxiv.org/abs/0710.5839
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141163
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject46L40, 46L57, 46L60, 47L60
dc.titleAlgebras of unbounded operators over the ring of measurable functions and their derivations and automorphisms
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