Geodesic
On the joint spectra of doubly commuting n-tuples of semi-normal operators
Glasgow mathematical journal, Tome 26 (1985) no. 1, pp. 47-50

Voir la notice de l'article provenant de la source Cambridge University Press

Let H be a complex Hilbert space. For any operator (bounded linear transformation) T on H, we denote the spectrum of T by σ(T). Let T = (T1, ..., Tn) be an n-tuple of commuting operators on H. Let Sp(T) be the Taylor joint spectrum of T. We refer the reader to [8] for the definition of Sp(T). A point v = (v1, ..., vn) of Cn is in the joint approximate point spectrum σπ(T) of T if there exists a sequence {xk} of unit vectors in H such that.A point v = (v1, ..., vn) of Cn is in the joint approximate compression spectrum σs(T) of T if there exists a sequence {xk} of unit vectors in H such thatA point v=(v1, ..., vn) of Cn is in the joint point spectrum σp(T) of T if there exists a non-zero vector x in H such that (Ti-vi)x = 0 for all i, 1 ≤ j ≤ n. 
Chō, Muneo; Dash, A. T. On the joint spectra of doubly commuting n-tuples of semi-normal operators. Glasgow mathematical journal, Tome 26 (1985) no. 1, pp. 47-50. doi: 10.1017/S0017089500005760
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