Rank of truncated Hankel operators on model spaces

We study the rank of truncated Hankel operators on model spaces K2u:= H2 ? uH2. Concrete rank formulas will be established for several classes of finite rank truncated Hankel operators. The rank formulas will be derived seperately depending on whether the model space K2u is finite-dimensional, or, infinite-dimensional.

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Publication Details

Journal
Filomat
Published
2025-01-01
DOI
https://doi.org/10.2298/fil2507121g
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Rank of truncated Hankel operators on model spaces

Dong-O Kang, Caixing Gu
Filomat
Holomorphic and Operator Theory
article

Rank of truncated Hankel operators on model spaces

Dong-O Kang, Caixing Gu
article en

Abstract

We study the rank of truncated Hankel operators on model spaces K2u:= H2 ? uH2. Concrete rank formulas will be established for several classes of finite rank truncated Hankel operators. The rank formulas will be derived seperately depending on whether the model space K2u is finite-dimensional, or, infinite-dimensional.

FilomatVol. 39(7)
California Polytechnic State University (US), Chungnam National University (KR)
National Research Foundation, National Research Foundation of Korea
Openalex Percentile: Top 69%
Holomorphic and Operator Theory
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