Spectral radius formulae in quotient $C^ *$-algebras
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- by Vladimir Rakočević PDF
- Proc. Amer. Math. Soc. 113 (1991), 1039-1040 Request permission
Abstract:
If $I$ is a closed two-sided ideal in ${C^ * }$-algebra $A$, we prove spectral radius formulae for the coset $x + I(x \in A)$ in the quotient algebra $A/I$. Then, as a corollary we get the main result of Mau-Hsiang Shin (Proc. Amer. Math. Soc. 100 (1987), 137-139).References
- G. J. Murphy and T. T. West, Spectral radius formulae, Proc. Edinburgh Math. Soc. (2) 22 (1979), no. 3, 271–275. MR 560990, DOI 10.1017/S0013091500016448
- Roger D. Nussbaum, The radius of the essential spectrum, Duke Math. J. 37 (1970), 473–478. MR 264434
- Mau-Hsiang Shih, Similarity of a linear strict set-contraction and the radius of the essential spectrum, Proc. Amer. Math. Soc. 100 (1987), no. 1, 137–139. MR 883416, DOI 10.1090/S0002-9939-1987-0883416-2
- Kari Ylinen, Measures of noncompactness for elements of $C^{\ast }$-algebras, Ann. Acad. Sci. Fenn. Ser. A I Math. 6 (1981), no. 1, 131–133. MR 639970, DOI 10.5186/aasfm.1981.0627
Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 113 (1991), 1039-1040
- MSC: Primary 46L05; Secondary 47A10, 47C99
- DOI: https://doi.org/10.1090/S0002-9939-1991-1075949-4
- MathSciNet review: 1075949