Operator algebra: Difference between revisions

Revision as of 08:39, 18 November 2021

Revision as of 01:34, 19 August 2022

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==Overview==

Operator algebras can be used to study arbitrary sets of operators with little algebraic relation ''simultaneously''. From this point of view, operator algebras can be regarded as a generalization of [[spectral theory]] of a single operator. In general operator algebras are [[noncommutative ring|non-commutative]] [[Ring (mathematics)|rings]].

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==See also==

*[[ {{annotated link|Banach algebra]]}}

*[[Topologies on the set of operators on a Hilbert space]]

*[[ {{annotated link|Matrix mechanics]]}}

*[[ {{annotated link|Topologies on the set of operators on a Hilbert space]]}}

*[[ {{annotated link|Vertex operator algebra]]}}

==References==

{{Reflist}}

{{reflist}}

== Further reading ==

*{{cite book

== Further reading ==

* {{cite book

| last = Blackadar

| first = Bruce

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* M. Takesaki, ''Theory of Operator Algebras I'', Springer, 2001.

{{Spectral theory}}

{{Functional analysis}}

{{Banach spaces}}

{{Industrial and applied mathematics}}

{{Authority control}}

[[Category:Operator theory]]

[[Category:Functional analysis]]

[[Category:Operator algebras]]

[[Category:Operator theory]]