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Uintell Mathematics Encyclopedia

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8658entities

10281articles

64071typed relations

1571taxonomy nodes

45444citation edges

6776classifications

Selected entity

Vector lattice

concept 2 articles 14 citations 17 shown relations

MathematicsTopologySpacesReal Vector Space

No local definition or abstract has been imported for this entity yet.

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2020 Mathematics Subject Classification: Primary: 46A40 [MSN][ZBL]

$K$-lineal

A partially ordered real vector space with an order relation defining a lattice. See Semi-ordered space, Riesz space.

How to Cite This Entry:
Vector lattice. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Vector_lattice&oldid=41808

Taxonomy path

Real Vector SpaceMathematics / Topology / Spaces / Real Vector Spacemethod: title_similarity - confidence: 0.90suggested

Parent concepts

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Child concepts

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Dependencies

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Theorems and methods

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Articles

Vector latticeencyclopedia_of_mathematics Vector latticeencyclopedia_of_mathematics

Citations

Riesz spaceoutgoing citation Semi-ordered spaceoutgoing citation Vector spaceoutgoing citation Latticeoutgoing citation Bounded operatorincoming citation Banach function spaceincoming citation Locally convex latticeincoming citation Riesz decomposition theoremincoming citation Complementationincoming citation Daniell integralincoming citation AM-compact operatorincoming citation Riesz decomposition propertyincoming citation Banach latticeincoming citation Disjunctive complementincoming citation

Formal proofs

No formal proof or verifier links are imported yet.

Provenance and confidence

discussesarticle:eom--vector-lattice--bdefd4c082 -> concept:vector-latticeconfidence: 1.00 - provenance: encyclopedia_of_mathematicsconfirmed

discussesarticle:eom--k-lineal--ad3040674a -> concept:vector-latticeconfidence: 1.00 - provenance: encyclopedia_of_mathematicsconfirmed

citesconcept:vector-lattice -> concept:riesz-spaceconfidence: 1.00 - provenance: article link extractionreviewed

citesconcept:vector-lattice -> concept:semi-ordered-spaceconfidence: 1.00 - provenance: article link extractionreviewed

citesconcept:vector-lattice -> concept:vector-spaceconfidence: 1.00 - provenance: article link extractionreviewed

citesconcept:vector-lattice -> concept:latticeconfidence: 1.00 - provenance: article link extractionreviewed

citesconcept:bounded-operator -> concept:vector-latticeconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:banach-function-space -> concept:vector-latticeconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:locally-convex-lattice -> concept:vector-latticeconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:riesz-decomposition-theorem -> concept:vector-latticeconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:complementation -> concept:vector-latticeconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:daniell-integral -> concept:vector-latticeconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:am-compact-operator -> concept:vector-latticeconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:riesz-decomposition-property -> concept:vector-latticeconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:banach-lattice -> concept:vector-latticeconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:disjunctive-complement -> concept:vector-latticeconfidence: 1.00 - provenance: article backlink extractionreviewed

subcategory_ofconcept:vector-lattice -> topic:real-vector-spaceconfidence: 0.90 - provenance: title_similarity classificationsuggested

Supported entity types include domain, subdomain, theory, concept, definition, theorem, conjecture, method, algorithm, problem, article, author, journal, dataset, and formal proof. The current import populates concepts, topics, articles, citations, source descriptions, and suggested classifications. Missing relation families are shown as empty instead of invented. See the Encyclopedia of Mathematics licensing notice.