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Matrix Valued Truncated Toeplitz Operators: Basic Properties

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Abstract

Matrix valued truncated Toeplitz operators act on vector-valued model spaces. They represent a generalization of block Toeplitz matrices. A characterization of these operators analogue to the scalar case is obtained, as well as the determination of the symbols that produce the zero operator.

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Authors and Affiliations

  1. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan

    Rewayat Khan

  2. Institute of Mathematics Simion Stoilow of the Romanian Academy, Calea Grivitei 21, Bucharest, Romania

    Dan Timotin

Authors
  1. Rewayat Khan
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  2. Dan Timotin
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Correspondence to Dan Timotin.

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Communicated by Hari Bercovici.

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Khan, R., Timotin, D. Matrix Valued Truncated Toeplitz Operators: Basic Properties. Complex Anal. Oper. Theory 12, 997–1014 (2018). https://doi.org/10.1007/s11785-017-0675-3

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  • DOI: https://doi.org/10.1007/s11785-017-0675-3

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