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- Bounded_operator abstract "In functional analysis, a branch of mathematics, a bounded linear operator is a linear transformation L between normed vector spaces X and Y for which the ratio of the norm of L(v) to that of v is bounded by the same number, over all non-zero vectors v in X. In other words, there exists some M > 0 such that for all v in X The smallest such M is called the operator norm of L.A bounded linear operator is generally not a bounded function; the latter would require that the norm of L(v) be bounded for all v, which is not possible unless Y is the zero vector space. Rather, a bounded linear operator is a locally bounded function. A linear operator on a metrizable vector space is bounded if and only if it is continuous.".
- Bounded_operator wikiPageID "455961".
- Bounded_operator wikiPageRevisionID "590022100".
- Bounded_operator hasPhotoCollection Bounded_operator.
- Bounded_operator id "p/b017420".
- Bounded_operator title "Bounded operator".
- Bounded_operator subject Category:Continuous_mappings.
- Bounded_operator subject Category:Linear_operators.
- Bounded_operator subject Category:Operator_theory.
- Bounded_operator type Abstraction100002137.
- Bounded_operator type ContinuousMappings.
- Bounded_operator type Function113783816.
- Bounded_operator type LinearOperator113786595.
- Bounded_operator type LinearOperators.
- Bounded_operator type MathematicalRelation113783581.
- Bounded_operator type Operator113786413.
- Bounded_operator type Relation100031921.
- Bounded_operator comment "In functional analysis, a branch of mathematics, a bounded linear operator is a linear transformation L between normed vector spaces X and Y for which the ratio of the norm of L(v) to that of v is bounded by the same number, over all non-zero vectors v in X.".
- Bounded_operator label "Bounded operator".
- Bounded_operator label "Operador lineal acotado".
- Bounded_operator label "Operador linear limitado".
- Bounded_operator label "Operator liniowy ograniczony".
- Bounded_operator label "Operatore limitato".
- Bounded_operator label "Opérateur borné".
- Bounded_operator label "Ограниченный оператор".
- Bounded_operator label "有界作用素".
- Bounded_operator label "有界算子".
- Bounded_operator sameAs Operador_lineal_acotado.
- Bounded_operator sameAs Opérateur_borné.
- Bounded_operator sameAs Operatore_limitato.
- Bounded_operator sameAs 有界作用素.
- Bounded_operator sameAs 유계작용소.
- Bounded_operator sameAs Operator_liniowy_ograniczony.
- Bounded_operator sameAs Operador_linear_limitado.
- Bounded_operator sameAs m.02bnmt.
- Bounded_operator sameAs Q2342396.
- Bounded_operator sameAs Q2342396.
- Bounded_operator sameAs Bounded_operator.
- Bounded_operator wasDerivedFrom Bounded_operator?oldid=590022100.
- Bounded_operator isPrimaryTopicOf Bounded_operator.