A hypercyclic rank one perturbation of a unitary operator
نویسندگان
چکیده
منابع مشابه
Equivalence up to a Rank One Perturbation
This note is devoted to the spectral analysis of rank one perturbations of unitary and self-adjoint operators. We study the following question: given two cyclic (i.e., having simple spectrum) operators A and B, when is A equivalent to B up to a rank one perturbation? More precisely, when does there exist a unitary operator U such that rank (UAU∗−B) = 1? As usual, we are looking for an answer in...
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2012
ISSN: 0025-584X
DOI: 10.1002/mana.201000112