Back نظرية طيفية Arabic Teoria espectral Catalan Spektrum (Operatortheorie) German Teoría espectral Spanish نظریه طیفی Persian Théorie spectrale French Teoria spettrale Italian スペクトル理論 Japanese Spectraaltheorie Dutch Teoria spektralna Polish
In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces.[1] It is a result of studies of linear algebra and the solutions of systems of linear equations and their generalizations.[2] The theory is connected to that of analytic functions because the spectral properties of an operator are related to analytic functions of the spectral parameter.[3]
- ^ Jean Alexandre Dieudonné (1981). History of functional analysis. Elsevier. ISBN 0-444-86148-3.
- ^ William Arveson (2002). "Chapter 1: spectral theory and Banach algebras". A short course on spectral theory. Springer. ISBN 0-387-95300-0.
- ^ Viktor Antonovich Sadovnichiĭ (1991). "Chapter 4: The geometry of Hilbert space: the spectral theory of operators". Theory of Operators. Springer. p. 181 et seq. ISBN 0-306-11028-8.
© MMXXIII Rich X Search. We shall prevail. All rights reserved. Rich X Search