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Sarason interpolation and Toeplitz corona theorem for almost periodic matrix functions

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Abstract

Sarason interpolation and Toeplitz corona problems are studied for almost periodic matrix functions. Recent results on almost periodic factorization and related generalized Toeplitz operators are the main tools in the study.

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Authors and Affiliations

  1. Department of Mathematics, Virginia Polytechic Institute and State University, 24061-0123, Blacksburg, VA

    J. A. Ball

  2. Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1096, Lisboa, Portugal

    Yu. I. Karlovich

  3. Department of Mathematics, The College of William & Mary, P.O. Box 8795, 23187-8795, Williamsburg, VA

    L. Rodman & I. M. Spitkovsky

Authors
  1. J. A. Ball
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  2. Yu. I. Karlovich
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  3. L. Rodman
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  4. I. M. Spitkovsky
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Additional information

Supported in part by NSF Grant DMS 9500912

Supported in part by NATO Collaborative Research Grant 950332

Supported by NSF Grant DMS 9500924

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Ball, J.A., Karlovich, Y.I., Rodman, L. et al. Sarason interpolation and Toeplitz corona theorem for almost periodic matrix functions. Integr equ oper theory 32, 243–281 (1998). https://doi.org/10.1007/BF01203771

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  • DOI: https://doi.org/10.1007/BF01203771

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