IJPAM: Volume 106, No. 1 (2016)
ON HILBERT




Payame Noor University
P.O. Box 19395-3697, Tehran, IRAN

Ferdowsi University of Mashhad
P. O. Box 1159, Mashhad 91775, IRAN
Abstract. Let be a Hilbert
-module over a unital
-algebra
. In this paper, we find the general form of the mappings
satisfing
as adjointable (bounded)
-linear operators. The generalized Hyers-Ulam stability of the functional equation is discussed.
Received: September 6, 2015
AMS Subject Classification: 39B52, 46L08
Key Words and Phrases: Hilbert -module,
-algebra,
-linear mapping
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DOI: 10.12732/ijpam.v106i1.15 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 1
Pages: 199 - 212
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