Abstract
Let $(T_1,\dots,T_N)$ be a $N-$tuple of positive operators with respect a Markushevich basis which are defined on a Hausdorff topological vector space. In this work we extend the notion of weak local quasinilpotence to $N-$tuples of operators (not-necessarily commuting). Under the hypothesis of existence of positive vectors, joint weak locally quasinilpotent we will obtain the existence of common invariant subspaces.
Citation
S. Bermudo. A. Fern´andez Valles. "COMMON INVARIANT SUBSPACES FOR N-TUPLES OF POSITIVE OPERATORS ACTING ON TOPOLOGICAL VECTOR SPACES." Taiwanese J. Math. 13 (4) 1283 - 1290, 2009. https://doi.org/10.11650/twjm/1500405508
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