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Journal of Mathematical Physics
Article . 1981 . Peer-reviewed
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Distributionlike representations of *-algebras

Authors: Francoise Mathot;

Distributionlike representations of *-algebras

Abstract

Non-self-adjoint representations of *-algebras in a Hilbert space give rise by an extension and transposition procedure to representations in larger spaces, such as distribution spaces. Those new representations provide examples of operators of nested Hilbert spaces which would be very singular operators when considered in the Hilbert space only.

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Keywords

nested Hilbert space, dual space, representations of *-algebras, Topological linear spaces of test functions, distributions and ultradistributions, Representations of topological algebras with involution, extension, distribution spaces, non-self-adjoint representation

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
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