A FIXED POINT APPROACH TO THE STABILITY OF DOUBLE JORDAN CENTRALIZERS AND JORDAN MULTIPLIERS ON BANACH ALGEBRAS

A FIXED POINT APPROACH TO THE STABILITY OF DOUBLE JORDAN CENTRALIZERS AND JORDAN MULTIPLIERS ON BANACH ALGEBRAS

We say a functional equation ( xi ) is stable if any function g satisfying the equation ( xi ) approximately is near to true solution of ( xi ). moreover, a functional equation ( xi ) is superstable if any function g satisfying the equation ( xi ) approximately is a true solution of ( xi ). In the p...

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Veröffentlicht in:Scientific bulletin. Buletin științific. Series A, Applied mathematics and physycs [i.e. physics] / UPB. Series A, Applied mathematics and physyics [i.e. physics Applied mathematics and physycs [i.e. physics] / UPB. Series A, Applied mathematics and physyics [i.e. physics, 2011-01, Vol.73 (2), p.65-74
Hauptverfasser: Gordji, ME, Bodaghi, A, Park, C
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Bucharest
Fixed points (mathematics)
Mathematical analysis
Multipliers
Series (mathematics)
Stability
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Zusammenfassung:We say a functional equation ( xi ) is stable if any function g satisfying the equation ( xi ) approximately is near to true solution of ( xi ). moreover, a functional equation ( xi ) is superstable if any function g satisfying the equation ( xi ) approximately is a true solution of ( xi ). In the present paper, we investigate the stability and the superstability of double centralizers and of multipliers on Banach algebras by using the fixed, point methods.
ISSN:1223-7027