Subsets of nonempty joint spectrum in topological algebras
We give a necessary and a sufficient condition for a subset $S$ of a locally convex Waelbroeck algebra $\mathcal A$ to have a non-void left joint spectrum $\sigma_l(S).$ In particular, for a Lie subalgebra $L\subset\mathcal A$ we have $\sigma_l(L)\neq\emptyset$ if and only if $[L,L]$ generates in $\...
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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2018-12-01
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| Series: | Mathematica Bohemica |
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| Online Access: | http://mb.math.cas.cz/full/143/4/mb143_4_9.pdf |