On the invertibility of isometric semigroup representations
Batty, C. ; Greenfield, D.
Studia Mathematica, Tome 108 (1994), p. 235-250 / Harvested from The Polish Digital Mathematics Library
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Let T be a representation of a suitable abelian semigroup S by isometries on a Banach space. We study the spectral conditions which will imply that T(s) is invertible for each s in S. On the way we analyse the relationship between the spectrum of T, Sp(T,S), and its unitary spectrum Spu(T,S). For S=ℤ+n or ℝ+n, we establish connections with polynomial convexity.

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:216111 
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Batty, C.; Greenfield, D. On the invertibility of isometric semigroup representations. Studia Mathematica, Tome 108 (1994) pp. 235-250. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv110i3p235bwm/

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