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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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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