SPECTRAL THEORY OF LINEAR OPERATORS INNORMED SPACE

Author (s) : R.MEGANATHAN, C.KARUNAIVEL

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Abstract :
Spectral theory is one of the main modern functional analysis and its applications, it is certain inverse operators. This inverse operator is naturally in connection with the problem of solving equations namely system of linear algebraic equations, differential equations, integral equations.The spectral theory of operators is very important for an understanding of the operators themselves. We begin with finite dimension vector spaces. Spectral theory in this case is essentially matrix eigenvalue theory and is much simpler than that of operators in infinite dimensional spaces. Important properties of the bounded linear operators, compact linear operators and bounded self-adjoint linear operators in normed spaces are discussed in the topic.

Keywords : Spectral theory, linear operators.

Conference Date : 13/11/2020

Pages : 291

Paper ID : 20291