SPECTRAL THEORY

Author (s) : R.SARANYA and Dr.R.PRABU

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Abstract :
Spectral theory is very broad but important space of applied functional analysis which extends to eigenvectors and eigenvalue theory of a square matrix. It was later discovered that spectral theory could explain features of atomic spectral in quantum mechanics. While solving the system of  linear algebraic equations, differential equations or integral equations. We come across the problem related to inverse operation Spectral theory is concerned with such problems.   In this paper we consider the spectrum of a Hermitial (or self- adjoint) operator. We also study the Hilbert-adjoint operator T of the bounded linear operator T and the Riesz representation of bounded linear functional by linear product

Keywords : Applied functional analysis, square matrix

Conference Date : 30/08/2019

Pages : 155

Paper ID : 19153