Abstract
A complex number lambda is called an extended eigenvalue of a bounded linear operator T on a Banach space B if there exists a non-zero bounded linear operator X acting on B such that XT = lambda TX. We show that there are compact quasinilpotent operators on a separable Hilbert space, for which the set of extended eigenvalues is the one-point set {1}.
Original language | English |
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Pages (from-to) | 455-462 |
Number of pages | 8 |
Journal | Journal of Mathematical Analysis and its Applications |
Volume | 332 |
Issue number | 1 |
Publication status | Published - 01 Aug 2007 |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics