Abstract
A Cauchy-Euler type factorization property which is closely related with the Hyers-Ulam stability problem is introduced in the algebra of all linear self maps of a commutative algebra without order. Several examples of linear self maps with such a property are given in this note.
Citation
Takeshi MIURA. Hirokazu OKA. Hiroyuki TAKAGI. Sin-Ei TAKAHASI. "A Cauchy-Euler Type Factorization of Operators." Tokyo J. Math. 31 (2) 489 - 493, December 2008. https://doi.org/10.3836/tjm/1233844065
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