type I von Neumann algebra

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:C*-algebra
gptkbp:characterizedBy direct sum of factors of type I_n
having minimal projections
gptkbp:contains all bounded operators on a Hilbert space
gptkbp:contrastsWith gptkb:type_III_von_Neumann_algebra
gptkb:type_II_von_Neumann_algebra
gptkbp:example B(H), the algebra of all bounded operators on a Hilbert space H
gptkbp:hasType I_n for some n
https://www.w3.org/2000/01/rdf-schema#label type I von Neumann algebra
gptkbp:introduced gptkb:John_von_Neumann
gptkbp:studiedBy gptkb:C*-algebra
gptkbp:subclassOf gptkb:C*-algebra
gptkbp:used_in mathematical physics
quantum mechanics
gptkbp:bfsParent gptkb:C*-algebra
gptkbp:bfsLayer 5