Geodesic
Sublinearity and Other Spectral Conditions on a Semigroup
Canadian journal of mathematics, Tome 52 (2000) no. 1, pp. 197-224

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

Subadditivity, sublinearity, submultiplicativity, and other conditions are considered for spectra of pairs of operators on a Hilbert space. Sublinearity, for example, is a weakening of the well-known property $L$ and means $\sigma (A\,+\,\lambda B)\,\subseteq \,\sigma (A)\,+\,\lambda \sigma (B)$ for all scalars $\lambda$ . The effect of these conditions is examined on commutativity, reducibility, and triangularizability of multiplicative semigroups of operators. A sample result is that sublinearity of spectra implies simultaneous triangularizability for a semigroup of compact operators.
DOI : 10.4153/CJM-2000-009-5
Mots-clés : 47A15, 47D03, 15A30, 20A20, 47A10, 47B10 
Radjavi, Heydar. Sublinearity and Other Spectral Conditions on a Semigroup. Canadian journal of mathematics, Tome 52 (2000) no. 1, pp. 197-224. doi: 10.4153/CJM-2000-009-5
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