Asymmetric Truncated Hankel Operators: Rank One, Matrix Representation | Zendy

Firdaws Rahmani | Zendy; Yufeng Lu | Zendy; Ran Li | Zendy

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Asymmetric Truncated Hankel Operators: Rank One, Matrix Representation

Author(s) -

Firdaws Rahmani,

Yufeng Lu,

Ran Li

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/4666376

Subject(s) - hankel matrix , mathematics , toeplitz matrix , rank (graph theory) , representation (politics) , generalization , matrix representation , operator theory , matrix (chemical analysis) , pure mathematics , algebra over a field , class (philosophy) , combinatorics , mathematical analysis , computer science , group (periodic table) , chemistry , materials science , organic chemistry , artificial intelligence , politics , political science , law , composite material

Asymmetric truncated Hankel operators are the natural generalization of truncated Hankel operators. In this paper, we determine all rank one operators of this class. We explore these operators on finite-dimensional model spaces, in particular, their matrix representation. We also give their matrix representation and the one for asymmetric truncated Toeplitz operators in the case of model spaces associated to interpolating Blaschke products.

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