An irreducible representation of a symmetric star algebra is bounded
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- by Subhash J. Bhatt PDF
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Abstract:
A ${\ast }$-algebra $A$ is called symmetric if $(1 + {x^{\ast }}x)$ is invertible in $A$ for each $x$ in $A$. An irreducible hermitian representation of a symmetric ${\ast }$-algebra $A$ maps $A$ onto an algebra of bounded operators.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 292 (1985), 645-652
- MSC: Primary 46K10; Secondary 47D40
- DOI: https://doi.org/10.1090/S0002-9947-1985-0808743-9
- MathSciNet review: 808743