On the 2-Adjointable Operators and Superstability of Them Between 2-Pre Hilbert $C^*$-module Spaces
Authors
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.
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Journal title
volume 14 issue 1
pages 121- 126
publication date 2019-04
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