Geodesic
JOINT SPECTRA OF REPRESENTATIONS OF LIE ALGEBRAS BY COMPACT OPERATORS
Glasgow mathematical journal, Tome 46 (2004) no. 2, pp. 355-362

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DOI

Given $X$ a complex Banach space, $L$ a complex nilpotent finite dimensional Lie algebra, and $\rho\,{\colon}\, L\to L(X)$, a representation of $L$ in $X$ such that $\rho (l\,)\,{\in}\, K(X)$ for all $l\,{\in}\, L$, the Taylor, the Słodkowski, the Fredholm, the split and the Fredholm split joint spectra of the representation $\rho$ are computed.
DOI : 10.1017/S0017089504001831
Mots-clés : Primary 47A13, 47A10, Secondary 17B15, 17B55 
BOASSO, ENRICO. JOINT SPECTRA OF REPRESENTATIONS OF LIE ALGEBRAS BY COMPACT OPERATORS. Glasgow mathematical journal, Tome 46 (2004) no. 2, pp. 355-362. doi: 10.1017/S0017089504001831
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     title = {JOINT {SPECTRA} {OF} {REPRESENTATIONS} {OF} {LIE} {ALGEBRAS} {BY} {COMPACT} {OPERATORS}},
     journal = {Glasgow mathematical journal},
     pages = {355--362},
     year = {2004},
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     doi = {10.1017/S0017089504001831},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089504001831/}
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