Self Adjoint Operator In Functional Analysis

S.Sravanthi; N.Mythili; B.Kokila

doi:https://doi.org/10.14445/22315373/IJMTT-V66I1P529

International Journal of Mathematics Trends and Technology

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Volume 66 | Issue 1 | Year 2020 | Article Id. IJMTT-V66I1P529 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I1P529

Self Adjoint Operator In Functional Analysis

S.Sravanthi, N.Mythili, B.Kokila

Abstract

In this paper, we study its possible to construct an self-adjoint for operators on banach space. Firstly, the necessary mathematical background namely, banach space, inner product space is reviewed. secondly we show the relationship between self-adjoint operator and other operator. self-adjoint operator on a finite dimensional complex vector space V with inner product <..,.> is a linear map P ( from V to itself ) that is its own adoint. self-adjoint operators are used in functional analysis and quantum mechanics.

Keywords

Banach space, self-adjoint operator, positive operator, eigen values, normal operator, problems

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Citation :

S.Sravanthi, N.Mythili, B.Kokila, "Self Adjoint Operator In Functional Analysis," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 1, pp. 225-228, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I1P529