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Subnormal operator

In mathematics, especially operator theory, subnormal operators are bounded operators on a Hilbert space defined by weakening the requirements for normal operators. Some examples of subnormal operators are isometries and Toeplitz operators with analytic symbols.

Standards, Normality, quasinormality, and subnormality & Minimal normal extension

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Normality, quasinormality, and subnormality

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Minimal normal extension

3 related topics

Definition

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Overview

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Definition

Normality, quasinormality, and subnormality

Minimal normal extension

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Subnormal operator

Nodes24
Edges23
Triples8
Avg. degree1.92
Density0.083333
Components1

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Subnormal operator

Top relations

related to Quasinormal operators · 5
Subnormal operator → An, Therefore, Thus, To, We
related to Non-uniqueness of normal extensions · 3
Subnormal operator → For, Given, One

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Important terminology

operator normal subnormal quasinormal operators extension unitary isometry hilbert space shift shows k' bounded minimal example unilateral calculation given b1

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Subnormal operatorrelated to Non-uniqueness of normal extensionsGiven0.60section
Subnormal operatorrelated to Non-uniqueness of normal extensionsFor0.60section
Subnormal operatorrelated to Non-uniqueness of normal extensionsOne0.60section
Subnormal operatorrelated to Quasinormal operatorsAn0.60section
Subnormal operatorrelated to Quasinormal operatorsTherefore0.60section
Subnormal operatorrelated to Quasinormal operatorsWe0.60section
Subnormal operatorrelated to Quasinormal operatorsThus0.60section
Subnormal operatorrelated to Quasinormal operatorsTo0.60section

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