Geodesic
First results on spectrally bounded operators
M. Mathieu 1   ; G. J. Schick 1
1 Department of Pure Mathematics Queen's University Belfast Belfast BT7 1NN Northern Ireland
Studia Mathematica, Tome 152 (2002) no. 2, pp. 187-199 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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A linear mapping $T$ from a subspace $E$ of a Banach algebra into another Banach algebra is defined to be spectrally bounded if there is a constant $M\geq 0$ such that $r(Tx)\leq Mr(x)$ for all $x\in E$, where $r(\cdot )$ denotes the spectral radius. We study some basic properties of this class of operators, which are sometimes analogous to, sometimes very different from, those of bounded operators between Banach spaces.
DOI : 10.4064/sm152-2-6
Keywords: linear mapping subspace banach algebra another banach algebra defined spectrally bounded there constant geq leq where cdot denotes spectral radius study basic properties class operators which sometimes analogous sometimes different those bounded operators between banach spaces

M. Mathieu  1   ; G. J. Schick  1

1 Department of Pure Mathematics Queen's University Belfast Belfast BT7 1NN Northern Ireland 
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M. Mathieu; G. J. Schick. First results on spectrally bounded operators. Studia Mathematica, Tome 152 (2002) no. 2, pp. 187-199. doi: 10.4064/sm152-2-6

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