Title of article :
On the 2-Adjointable Operators and Superstability of them between 2-Pre Hilbert C*-Module Spaces
Author/Authors :
Ramezani, Maryam Department of Mathematics - University of Bojnord, Bojnord, Iran , Baghani, Hamid Department of Mathematics - University of Sistan and Baluchestan, Zahedan, Iran
Abstract :
In this paper, first, we introduce the new concept of 2-inner
product on Banach modules over a C*-algebra. Next, we present the
concept of 2-linear operators over a C-algebra. Our result improve the
main result of the paper [Z. Lewandowska, On 2-normed sets, Glasnik
Mat., 38(58) (2003), 99-110]. In the end of this paper, we define the
notions 2-adjointable mappings between 2-pre Hilbert C*-modules and
prove superstability of them in the spirit of Hyers-Ulam-Rassias.
Keywords :
Superstability , 2-Adjointable mapping , C*-Algebra
