Rank of truncated Hankel operators on model spaces

Key Points

• Concrete rank formulas for truncated Hankel operators are derived for finite and infinite-dimensional spaces.
• The study addresses several classes of finite rank truncated Hankel operators with specialized formulas.
• Rank calculations vary based on the dimensionality of the model space K2u—finite or infinite.
• This framework may enable further exploration of operator theory related to model spaces.