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Affiliated operator

In mathematics, affiliated operators were introduced by Murray and von Neumann in the theory of von Neumann algebras as a technique for using unbounded operators to study modules generated by a single vector. Later Atiyah and Singer showed that index theorems for elliptic operators on closed manifolds with infinite fundamental group could naturally be…

Definition, Measurable operators & Overview

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Definition

Measurable operators

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Affiliated operator

Nodes37
Edges36
Triples50
Avg. degree1.95
Density0.054054
Components1

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Affiliated operator

Top relations

related to References · 34
Affiliated operator → Anal, Annals, Applications, Chapter, Chapter XVI, Connes, Dixmier, Funct, Gauthier-Villars, Geometry, II, III, ISBN, K-Theory, L2-Invariants, Les, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Lück
related to Measurable operators · 16
Affiliated operator → Edward Nelson, Gelfand, Hilbert, However, II, In, It, L2, Lp, Naimark, Neumann, Schatten, Schmidt, Segal, This, When

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Important terminology

operators von neumann affiliated algebra theory operator unbounded measurable isbn unitary non-commutative study murray geometry polar decomposition spaces algebras l2

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Affiliated operatorrelated to Measurable operatorsIn0.60section
Affiliated operatorrelated to Measurable operatorsNeumann0.60section
Affiliated operatorrelated to Measurable operatorsHowever0.60section
Affiliated operatorrelated to Measurable operatorsGelfand0.60section
Affiliated operatorrelated to Measurable operatorsNaimark0.60section
Affiliated operatorrelated to Measurable operatorsSegal0.60section
Affiliated operatorrelated to Measurable operatorsL20.60section
Affiliated operatorrelated to Measurable operatorsEdward Nelson0.60section
Affiliated operatorrelated to Measurable operatorsThis0.60section
Affiliated operatorrelated to Measurable operatorsIt0.60section
Affiliated operatorrelated to Measurable operatorsLp0.60section
Affiliated operatorrelated to Measurable operatorsII0.60section

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