Selfadjoint representations of polynomial algebras
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- by Atsushi Inoue and Kunimichi Takesue PDF
- Trans. Amer. Math. Soc. 280 (1983), 393-400 Request permission
Abstract:
In this paper we will investigate the selfadjointness of unbounded $^{\ast }$-representations of the polynomial algebra. In particular, it is shown that the notion of selfadjoint representation is equivalent to that of standard representation in the case of the polynomial algebra generated by one hermitian element. Although the notion of standardness implies that of selfadjointness, the converse is not true in general. Therefore, we consider under what conditions a $^{\ast }$-representation is standard.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 280 (1983), 393-400
- MSC: Primary 46K10; Secondary 46L99, 47D25
- DOI: https://doi.org/10.1090/S0002-9947-1983-0712267-5
- MathSciNet review: 712267