Remarks on the stability of Lie homomorphisms

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Title:	Remarks on the stability of Lie homomorphisms
Authors:	ID Brzdęk, Janusz (Author) ID Fošner, Ajda (Author)
Files:	http://dx.doi.org/10.1016/j.jmaa.2012.11.008
Language:	English
Work type:	Not categorized
Typology:	1.01 - Original Scientific Article
Organization:	IAM - Andrej Marušič Institute
Abstract:	V članku je obravnavana posplošena Hyers-Ulam stabilnost Lie homomorfizmov na Banachovih algebrah.
Keywords:	matematika, algebra, Hyers-Ulam stabilnost, Banachova algebra, Lie homomorfizem
Year of publishing:	2013
Number of pages:	str. 585-596
Numbering:	Vol. 400, iss. 2
PID:	20.500.12556/RUP-786
ISSN:	0022-247X
UDC:	512.552
COBISS.SI-ID:	16549721
Publication date in RUP:	15.10.2013
Views:	2787
Downloads:	104
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Language:	Unknown
Abstract:	We study the generalized Hyers-Ulam stability of Lie homomorphisms on Banach algebras. We show that such homomorphisms can be generated by functions which satisfy quite natural and simple assumptions.
Keywords:	mathematics, algebra, Hyers-Ulam stability, Banach algebra, Lie homomorphism

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