Intertwining property for compressions of multiplication operators

2020/12/09 by M. Cristina Câmara, Kamila Kliś–Garlicka, Câmara, M. Cristina +5
Mathematics · #30H10 #47B32 #47B35 #47B38 #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2012.05330

openalex publication_date 2020/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Following Beurling's theorem the natural compressions of the multiplication operator in the classical L² space are compressions to model spaces and to their orthogonal complements. Two possibly different model spaces are considered hence asymmetric truncated Toeplitz and asymmetric dual truncated Toeplitz operators are investigated. The main purpose of the paper is to characterize operators which intertwine compressions of the unilateral shift.

Related

• Shift invariance and reflexivity of compressions of multiplication operators
• Characterizations of Matrix Valued Asymmetric Truncated Toeplitz Operators
• Products of compressions of k^th-order slant Toeplitz operators to model spaces
• A Szegö type theorem for truncated Toeplitz operators
• Compressions of the Shift on the Bidisk and their Numerical Ranges