Geodesic
On the invertibility of isometric semigroup representations
Studia Mathematica, Tome 110 (1994) no. 3, pp. 235-250

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $Sp_{u}(T,S)$. For $S = ℤ^{n}_{+}$ or $ℝ^{n}_{+}$, we establish connections with polynomial convexity.
DOI : 10.4064/sm-110-3-235-250
Keywords: semigroup, isometric representation, spectrum, polynomial convexity

C. J. K. Batty 1

1 
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C. J. K. Batty. On the invertibility of isometric semigroup representations. Studia Mathematica, Tome 110 (1994) no. 3, pp. 235-250. doi: 10.4064/sm-110-3-235-250

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