Multipliers and equivalences between Toeplitz kernels

2016/11/25 by M. Cristina Câmara, Camara, M. Cristina, J. R. Partington +1 · 3 citations
Computer Science · Engineering · Mathematics · #30H10 #47B35 #Complex Variables (math.CV) #Elasticity and Wave Propagation #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Matrix Theory and Algorithms

paper · doi:10.48550/arxiv.1611.08429

openalex publication_date 2016/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Multipliers between kernels of Toeplitz operators are characterised in terms of test functions (so-called maximal vectors for the kernels); these maximal vectors may easily be parametrised in terms of inner and outer factorizations. Immediate applications to model spaces are derived. The case of surjective multipliers is also analysed. These ideas are applied to describing equivalences between two Toeplitz kernels.

Cited by

• Maximal functions, conjugations and multipliers between Toeplitz kernels
• Multiplier Between Generalized Toeplitz Kernels
• Spectra and invariant subspaces of compressed shifts on nearly invariant subspaces

Related

• Maximal functions, conjugations and multipliers between Toeplitz kernels
• Toeplitz kernels and model spaces
• Multiplier Between Generalized Toeplitz Kernels
• Composition operators between Toeplitz kernels
• Multipliers and equivalence of functions, spaces, and operators