Volume 14, Issue 1 (4-2019)                   IJMSI 2019, 14(1): 121-126 | Back to browse issues page

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Ramezani M, Baghani H. On the 2-Adjointable Operators and Superstability of Them Between 2-Pre Hilbert $C^*$-module Spaces. IJMSI. 2019; 14 (1) :121-126
URL: http://ijmsi.ir/article-1-945-en.html
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.

Type of Study: Research paper | Subject: Special

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