Approximation of linear mappings in Banach modules over C*-algebras
- Title
- Approximation of linear mappings in Banach modules over C*-algebras
- Author
- 박춘길
- Keywords
- fixed point; Hyers-Ulam stability; super-stability; generalized Euler-Lagrange type additive mapping; homomorphism; C*-algebra; HYERS-ULAM STABILITY; FIXED-POINT APPROACH; FUNCTIONAL-EQUATIONS; RASSIAS STABILITY; FUZZY STABILITY; NORMED SPACES; HOMOMORPHISMS; SUPERSTABILITY; DERIVATIONS
- Issue Date
- 2013-04
- Publisher
- SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND
- Citation
- JOURNAL OF INEQUALITIES AND APPLICATIONS,2013권, 1호
- Abstract
- Let X, Y be Banach modules over a C*-algebra and let r(1), ..., r(n). R be given. Using fixed-point methods, we prove the stability of the following functional equation in Banach modules over a unital C*-algebra:Sigma(n)(j=1) f(1/2 Sigma(1 <= i <= n,i not equal j) r(i)x(i) - 1/2r(j)x(j)) + Sigma(n)(i=1) r(i)f(x(i)) = nf(1/2 Sigma(n)(i=1) r(i)x(i)).As an application, we investigate homomorphisms in unital C*-algebras.
- URI
- https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2013-185http://hdl.handle.net/20.500.11754/54561
- ISSN
- 1025-5834; 1029-242X
- DOI
- 10.1186/1029-242X-2013-185
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
- Files in This Item:
- Approximation of linear mappings in Banach modules over Calgebras.pdfDownload
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