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On the Factorization of Some Block Triangular Almost Periodic Matrix Functions

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Operator Theory, Operator Algebras and Applications

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 242))

Abstract

Canonical factorization criterion is established for a class of block triangular almost periodic matrix functions. Explicit factorization formulas are also obtained, and the geometric mean of matrix functions in question is computed.

Mathematics Subject Classification (2010). Primary 47A68. Secondary 30E25.

To Professor António Ferreira dos Santos, in celebration of his 70th birthday.

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Author information

Authors and Affiliations

  1. Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001, Lisboa, Portugal

    M. Amélia Bastos & António Bravo

  2. Facultad de Ciencias, Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, C.P. 62209, Cuernavaca, Morelos, México

    Yuri I. Karlovich

  3. Department of Mathematics, College of William and Mary, Williamsburg, VA, 23187, USA

    Ilya M. Spitkovsky

Authors
  1. M. Amélia Bastos
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  2. António Bravo
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  3. Yuri I. Karlovich
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  4. Ilya M. Spitkovsky
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Corresponding author

Correspondence to M. Amélia Bastos .

Editor information

Editors and Affiliations

  1. Departamento de Matemática, Instituto Superior Técnico, Lisbon, Portugal

    M. Amélia Bastos

  2. Departamento de Matemática, Instituto Superior Técnico, Lisbon, Portugal

    Amarino Lebre

  3. Departamento de Matemática, Universidade do Algarve, Faro, Portugal

    Stefan Samko

  4. Department of Mathematics, College of William & Mary, Williamsburg, Virginia, USA

    Ilya M. Spitkovsky

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Bastos, M.A., Bravo, A., Karlovich, Y.I., Spitkovsky, I.M. (2014). On the Factorization of Some Block Triangular Almost Periodic Matrix Functions. In: Bastos, M., Lebre, A., Samko, S., Spitkovsky, I. (eds) Operator Theory, Operator Algebras and Applications. Operator Theory: Advances and Applications, vol 242. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0816-3_2

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