On the 2-Adjointable Operators and Superstability of Them Between 2-Pre Hilbert $C^*$-module Spaces

Author(s):

M. Ramezani* , H. Baghani

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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.  In the final of this paper, we define the notions 2-adjointable mappings between 2-pre Hilbert C*-modules and prove supperstability of them in the spirit of Hyers-Ulam-Rassias.
Keywords:

$C^*$-algebra , 2-Adjointable mapping , Supperstability.

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:14 Issue: 1, May 2019
Pages:
121 to 126
https://www.magiran.com/p1956539