Representations of correlations of the $і [A, B] = f(A) + g(B)$ type

It is proved that all nontrivial representations of quadratic relation $i [A, B] = f(A) + g(B)$ with self-adjoint operators $A, B$ are unbounded if $f$ and $g$ are nonnegative; for any $f$ and $g$ this relation does not have nontrivial finite-dimensional representations and factor-representations of...

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Bibliographic Details
Date:1991
Main Authors: Samoilenko , Yu. S., Shulman , V. S., Самойленко , Ю. С., Шульман , В. С.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1991
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/9313
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal