2022/01/31 by Zouheir Amara, Amara, Zouheir, Mourad Oudghiri +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Spectral Theory (math.SP)
paper · pdf · doi:10.48550/arxiv.2202.00614
openalex publication_date 2022/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For a separable complex Hilbert space H, we say that a bounded linear operator T acting on H is C-normal, where C is a conjugation on H, if it satisfies CT^*TC=TT^*. For a normal operator, we give geometric conditions which guarantee that its rank-one perturbation is a C-normal for some conjugation C.