On the 2-Adjointable Operators and Superstability of them between 2-Pre Hilbert C-Module Spaces

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RAMEZANI MARYAM; Baghani Hamid

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Journal Paper

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2019 | Volume:14 | Issue:1 Page(s): 121-126

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Title

On the 2-Adjointable Operators and Superstability of them between 2-Pre Hilbert C-Module Spaces

Author(s)

RAMEZANI MARYAM | Baghani Hamid | Issue Writer Certificate

Keywords

C-Algebra

2-Adjointable mapping

Superstability

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.

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APA: Copy

RAMEZANI, MARYAM, & Baghani, Hamid. (2019). On the 2-Adjointable Operators and Superstability of them between 2-Pre Hilbert C-Module Spaces. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 14(1), 121-126. SID. https://sid.ir/paper/310487/en

Vancouver: Copy

RAMEZANI MARYAM, Baghani Hamid. On the 2-Adjointable Operators and Superstability of them between 2-Pre Hilbert C-Module Spaces. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2019;14(1):121-126. Available from: https://sid.ir/paper/310487/en

IEEE: Copy

MARYAM RAMEZANI, and Hamid Baghani, “On the 2-Adjointable Operators and Superstability of them between 2-Pre Hilbert C-Module Spaces,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 14, no. 1, pp. 121–126, 2019, [Online]. Available: https://sid.ir/paper/310487/en

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