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PERMUTING TRIDERIVATIONS AND PERMUTING TRIHOMOMORPHISMS IN BANACH ALGEBRAS
- Issue Date
- Oct-2020
- Publisher
- ROCKY MT MATH CONSORTIUM
- Keywords
- permuting triderivation on C*-algebra; permuting trihomomorphism in Banach algebra; Hyers-Ulam stability; direct method; triadditive s-functional inequality
- Citation
- ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, v.50, no.5, pp.1793 - 1806
- Indexed
- SCIE
SCOPUS
- Journal Title
- ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
- Volume
- 50
- Number
- 5
- Start Page
- 1793
- End Page
- 1806
- ISSN
- 0035-7596
- Abstract
- Using the direct method, we prove the Hyers-Ulam stability of permuting triderivations and permuting trihomomorphisms in Banach algebras and unital C*-algebras associated with the triadditive s functional inequality parallel to f(x + y, z - w, a + b) + f (x - y, z + w, a - b) - 2f(x, z, a)+2f(x, w, b) -2 f (y, z, b) + 2f (y, w, a)parallel to <=parallel to s(2f ((x + y)/2, z - w , a + b) + 2 f ((x - y)/2, z + w, a - b) - 2f (x, z, a) + 2f (x, w, b) - 2f (y, z, b) + 2 f (y, w, d))parallel to, where s is a fixed nonzero complex number with vertical bar s vertical bar < 1.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)