Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Stone's_theorem_on_one-parameter_unitary_groups> ?p ?o. }
Showing items 1 to 27 of
27
with 100 items per page.
- Stone's_theorem_on_one-parameter_unitary_groups abstract "In mathematics, Stone's theorem on one-parameter unitary groups is a basic theorem of functional analysis that establishes a one-to-one correspondence between self-adjoint operators on a Hilbert space H and one-parameter familiesof unitary operators that are strongly continuous, i.e.,and are homomorphisms, i.e.,Such one-parameter families are ordinarily referred to as strongly continuous one-parameter unitary groups.The theorem was proved by Marshall Stone (1930, 1932), and Von Neumann (1932) showed that the requirement that be strongly continuous can be relaxed to say that it is merely weakly measurable, at least when the Hilbert space is separable.This is a very stunning theorem, as it allows to define the derivative of the mapping t ↦ Ut, which is only supposed to be continuous. It is also related to the theory of Lie groups and Lie algebras.".
- Stone's_theorem_on_one-parameter_unitary_groups wikiPageID "893698".
- Stone's_theorem_on_one-parameter_unitary_groups wikiPageRevisionID "602682034".
- Stone's_theorem_on_one-parameter_unitary_groups authorlink "Marshall Stone".
- Stone's_theorem_on_one-parameter_unitary_groups first "Marshall".
- Stone's_theorem_on_one-parameter_unitary_groups hasPhotoCollection Stone's_theorem_on_one-parameter_unitary_groups.
- Stone's_theorem_on_one-parameter_unitary_groups last "Stone".
- Stone's_theorem_on_one-parameter_unitary_groups year "1930".
- Stone's_theorem_on_one-parameter_unitary_groups year "1932".
- Stone's_theorem_on_one-parameter_unitary_groups subject Category:Functional_analysis.
- Stone's_theorem_on_one-parameter_unitary_groups subject Category:Theorems_in_functional_analysis.
- Stone's_theorem_on_one-parameter_unitary_groups type Abstraction100002137.
- Stone's_theorem_on_one-parameter_unitary_groups type Communication100033020.
- Stone's_theorem_on_one-parameter_unitary_groups type Message106598915.
- Stone's_theorem_on_one-parameter_unitary_groups type Proposition106750804.
- Stone's_theorem_on_one-parameter_unitary_groups type Statement106722453.
- Stone's_theorem_on_one-parameter_unitary_groups type Theorem106752293.
- Stone's_theorem_on_one-parameter_unitary_groups type TheoremsInFunctionalAnalysis.
- Stone's_theorem_on_one-parameter_unitary_groups comment "In mathematics, Stone's theorem on one-parameter unitary groups is a basic theorem of functional analysis that establishes a one-to-one correspondence between self-adjoint operators on a Hilbert space H and one-parameter familiesof unitary operators that are strongly continuous, i.e.,and are homomorphisms, i.e.,Such one-parameter families are ordinarily referred to as strongly continuous one-parameter unitary groups.The theorem was proved by Marshall Stone (1930, 1932), and Von Neumann (1932) showed that the requirement that be strongly continuous can be relaxed to say that it is merely weakly measurable, at least when the Hilbert space is separable.This is a very stunning theorem, as it allows to define the derivative of the mapping t ↦ Ut, which is only supposed to be continuous. ".
- Stone's_theorem_on_one-parameter_unitary_groups label "Stone's theorem on one-parameter unitary groups".
- Stone's_theorem_on_one-parameter_unitary_groups label "Теорема Стоуна о группах унитарных операторов в гильбертовом пространстве".
- Stone's_theorem_on_one-parameter_unitary_groups sameAs m.03mg__.
- Stone's_theorem_on_one-parameter_unitary_groups sameAs Q4455030.
- Stone's_theorem_on_one-parameter_unitary_groups sameAs Q4455030.
- Stone's_theorem_on_one-parameter_unitary_groups sameAs Stone's_theorem_on_one-parameter_unitary_groups.
- Stone's_theorem_on_one-parameter_unitary_groups wasDerivedFrom Stone's_theorem_on_one-parameter_unitary_groups?oldid=602682034.
- Stone's_theorem_on_one-parameter_unitary_groups isPrimaryTopicOf Stone's_theorem_on_one-parameter_unitary_groups.