An Interpolation Problem for Conjugations II

Liu, Ting; Xie, Xinyu; Zhu, Sen

doi:10.1007/s00009-022-02080-9

Search citation statements

Order By: Relevance

Paper Sections

Select...

Definition 12 Let T ∈ B(h)2

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

2024

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(2 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The study of C-normal operators was initiated by Ptak et al [17], where basic properties of conjugate normal operators are developed. The term "conjugate normal" was first used in [15]. The class of conjugate normal operators includes complex symmetric operators.…”

Section: Definition 12 Let T ∈ B(h)mentioning

confidence: 99%

See 1 more Smart Citation

Invariance of Conjugate Normality Under Similarity

Cun Wang,

Meng Yu,

Minyi Liang

2024

CMR

View full text Add to dashboard Cite

An operator T on a separable, infinite dimensional, complex Hilbert space H is called conjugate normal if C|T|C = |T * | for some conjugate linear, isometric involution C on H. This paper focuses on the invariance of conjugate normality under similarity. Given an operator T, we prove that every operator A similar to T is conjugate normal if and only if there exist complex numbers λ 1 , λ 2 such that (T−λ 1 )(T−λ 2 ) = 0.

show abstract

Section: Definition 12 Let T ∈ B(h)mentioning

confidence: 99%

“…Recently the class of conjugate normal operators has received a lot of attention. Conjugate normal weighted shifts and partial isometries are classified in [14,15]. A refined polar decomposition of conjugate normal operators was provided in [20].…”

Section: Definition 12 Let T ∈ B(h)mentioning

confidence: 99%