A note on the joint operator norm of hermitian operators on Banach spaces
Glasgow mathematical journal, Tome 34 (1992) no. 2, pp. 219-220

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Let X be a complex Banach space and H be a hermitian operator on X. Then in [7] Sinclair proved that r(H) = ¶H¶, where r(H) and ¶H¶ are the spectral radius and the operator norm of H, respectively.For a commuting n-tuple T = (T1,..., Tn) of operators on X, we denote the (Taylor) joint spectrum of T by σ(T) (see [9]) and define the joint operator norm ¶T¶ and the joint spectral radius r(T) byandrespectively.
Chō, Muneo; Huruya, Tadasi. A note on the joint operator norm of hermitian operators on Banach spaces. Glasgow mathematical journal, Tome 34 (1992) no. 2, pp. 219-220. doi: 10.1017/S0017089500008752
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