Toeplitz Operators on Finite Dimension Spaces with Truncated Values

Dr. Manal Yagoub Ahmed Juma
Department of mathematic
College of Science
Qassim University
Buraidah Saudi Arabia
عنوان البريد الإلكتروني هذا محمي من روبوتات السبام. يجب عليك تفعيل الجافاسكربت لرؤيته. 

Key words:  Clark operators, representations, model spaces, matrix and Toeplitz operators 

Abstract 
This work discusses matrix representations of Toeplitz operators' compressing to finite dimensional model spaces , where the Blaschke product  is finite. We use the matrix representation to determine if a linear transformation on compresses the Toeplitz operator, and if so, what are the sufficient and necessary conditions for this to happen? This result validates a related observation made by Sarason (D. Sarason 1994, D. Sarason2007)