Geodesic
Escaping a Neighborhood Along a Prescribed Sequence in Lie Groups and Banach Algebras
Canadian mathematical bulletin, Tome 63 (2020) no. 3, pp. 484-505

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DOI

It is shown that Jamison sequences, introduced in 2007 by Badea and Grivaux, arise naturally in the study of topological groups with no small subgroups, of Banach or normed algebra elements whose powers are close to identity along subsequences, and in characterizations of (self-adjoint) positive operators by the accretiveness of some of their powers. The common core of these results is a description of those sequences for which non-identity elements in Lie groups or normed algebras escape an arbitrary small neighborhood of the identity in a number of steps belonging to the given sequence. Several spectral characterizations of Jamison sequences are given, and other related results are proved.
DOI : 10.4153/S0008439519000560
Mots-clés : Jamison sequence, point spectrum, iterate, accretive operator, Banach algebra, Lie group, group with no small subgroups, minimal metric 
Badea, Catalin; Devinck, Vincent; Grivaux, Sophie. Escaping a Neighborhood Along a Prescribed Sequence in Lie Groups and Banach Algebras. Canadian mathematical bulletin, Tome 63 (2020) no. 3, pp. 484-505. doi: 10.4153/S0008439519000560
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     author = {Badea, Catalin and Devinck, Vincent and Grivaux, Sophie},
     title = {Escaping a {Neighborhood} {Along} a {Prescribed} {Sequence} in {Lie} {Groups} and {Banach} {Algebras}},
     journal = {Canadian mathematical bulletin},
     pages = {484--505},
     year = {2020},
     volume = {63},
     number = {3},
     doi = {10.4153/S0008439519000560},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000560/}
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