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Proceedings of the American Mathematical Society

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On abstract Pruefer transformations


Authors: Donald C. Benson and Kurt Kreith
Journal: Proc. Amer. Math. Soc. 26 (1970), 137-140
MSC: Primary 34.95
DOI: https://doi.org/10.1090/S0002-9939-1970-0262638-5
MathSciNet review: 0262638
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Abstract: The Pruefer transformation has been generalized to matrix differential equations by John Barrett, and Barrett's results have been partly extended to the case of functions which take values in a $ {B^ \ast }$-algebra by Einar Hille. By modifying Barrett's proof, generalizations in the $ {B^ \ast }$-algebra case become possible.


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DOI: https://doi.org/10.1090/S0002-9939-1970-0262638-5
Keywords: Pruefer transformation, $ {B^ \ast }$-algebra, generalized sines and cosines, Picard existence theorem
Article copyright: © Copyright 1970 American Mathematical Society

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