OPERATOR THEORY

In mathematics, 'operator theory' is the branch of functional analysis which deals with bounded linear operators and their properties. It can be split crudely into two branches, although there is considerable overlap and interplay between them. These extend the spectral theory for bounded operators.

Contents
Single operator theory
Operator algebras
See also
External links

Single operator theory


Single operator theory deals with the properties and classification of single operators. For example, the classification of normal operators in terms of their spectra falls into this category.

Operator algebras


The theory of operator algebras brings algebras of operators such as C
★ -algebra
s to the fore.

See also



Fredholm theory

External links



History of Operator Theory

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