Albrecht Seelmann, Matthias Taufer, Krevsimir Veseli'c
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We classify all sets of the form ⋃t∈Rspec(A+tB) where A and B are self-adjoint operators and B is bounded, non-negative, and non-zero. We show that these sets are exactly the complements of discrete subsets of R, that is, of at most countable subsets of R that contain none of their accumulation points.
期刊介绍:
The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.