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Weak operator topology

In functional analysis, the weak operator topology, often abbreviated WOT, is the weakest topology on the set of bounded operators on a Hilbert space H {\displaystyle H} , such that the functional sending an operator T {\displaystyle T} to the complex number ⟨ T x , y ⟩ {\displaystyle \langle Tx,y\rangle } is continuous for any vectors x {\displaystyle…

Relationship with other topologies on B(H), SOT and WOT on B(X,Y) when X and Y are normed spaces & Overview

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Overview

Relationship with other topologies on B(H)

SOT and WOT on B(X,Y) when X and Y are normed spaces

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Weak operator topology

Nodes26
Edges25
Triples15
Avg. degree1.92
Density0.076923
Components1

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Weak operator topology

Top relations

related to SOT and WOT on B(X,Y) when X and Y are normed spaces · 8
Weak operator topology → Equivalently, In, Lambda, SOT, The, Tx, We, WOT
related to Relationships between different topologies on B(X,Y) · 7
Weak operator topology → And, For, In, SOT, SOT-convergence, The, WOT

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Important terminology

displaystyle wot operator topology sot continuous set operators space bounded topologies converges tx strong net σ-weak sets weak hilbert finite

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Weak operator topologyrelated to Relationships between different topologies on B(X,Y)The0.60section
Weak operator topologyrelated to Relationships between different topologies on B(X,Y)For0.60section
Weak operator topologyrelated to Relationships between different topologies on B(X,Y)SOT-convergence0.60section
Weak operator topologyrelated to Relationships between different topologies on B(X,Y)And0.60section
Weak operator topologyrelated to Relationships between different topologies on B(X,Y)WOT0.60section
Weak operator topologyrelated to Relationships between different topologies on B(X,Y)SOT0.60section
Weak operator topologyrelated to Relationships between different topologies on B(X,Y)In0.60section
Weak operator topologyrelated to SOT and WOT on B(X,Y) when X and Y are normed spacesWe0.60section
Weak operator topologyrelated to SOT and WOT on B(X,Y) when X and Y are normed spacesSOT0.60section
Weak operator topologyrelated to SOT and WOT on B(X,Y) when X and Y are normed spacesWOT0.60section
Weak operator topologyrelated to SOT and WOT on B(X,Y) when X and Y are normed spacesIn0.60section
Weak operator topologyrelated to SOT and WOT on B(X,Y) when X and Y are normed spacesTx0.60section

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