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A hypercyclic rank one perturbation of a unitary operator
Author(s) -
Grivaux Sophie
Publication year - 2012
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201000112
Subject(s) - unitary state , unitary operator , separable space , mathematics , perturbation (astronomy) , hilbert space , operator (biology) , rank (graph theory) , multiplication operator , pure mathematics , mathematical analysis , combinatorics , physics , quantum mechanics , chemistry , political science , law , biochemistry , repressor , transcription factor , gene
We prove that there exists a rank 1 perturbation of a unitary operator on a complex separable infinite dimensionai Hilbert space which is hypercyclic.