Banach algebra
In mathematics, especially functional analysis, a Banach algebra, named after Stefan Banach, is an associative algebra A over the real or complex numbers (or over a non-Archimedean complete normed field) that at the same time is also a Banach space, i.e. normed and complete. The algebra multiplication and the Banach space norm are required to be related by the following inequality: If in the above we relax Banach space to normed space the analogous structure is called a normed algebra. (whether it has an identity element or not) can be embedded isometrically into a unital Banach algebra
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Banach algebra
In mathematics, especially functional analysis, a Banach algebra, named after Stefan Banach, is an associative algebra A over the real or complex numbers (or over a non-Archimedean complete normed field) that at the same time is also a Banach space, i.e. normed and complete. The algebra multiplication and the Banach space norm are required to be related by the following inequality: If in the above we relax Banach space to normed space the analogous structure is called a normed algebra. (whether it has an identity element or not) can be embedded isometrically into a unital Banach algebra
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Algebra Banacha – przestrzeń B ...... 1945 przez Warrena Ambrose'a.
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Banachalgebren (nach Stefan Ba ...... keitsbedingungen erfüllt sind.
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Em análise funcional, uma álge ...... idade multiplicativa , então .
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En mathématiques, l'algèbre de ...... ais Stefan Banach (1892-1945).
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In de functionaalanalyse, een ...... van vectoren is gedefinieerd.
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In matematica, soprattutto in ...... licazione , detta involuzione.
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In mathematics, especially fun ...... is is part of p-adic analysis.
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Un álgebra de Banach es un esp ...... amente las álgebras de Banach.
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Ба́наховой алгеброй над компле ...... умножения в ней коммутативна.
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数学の、特に関数解析学の分野におけるバナッハ環（バナッハかん ...... についても同様に定義できる。これは p-進解析の一部である。
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Algebra Banacha – przestrzeń B ...... rzemiennych algebrach Banacha.
@pl
Banachalgebren (nach Stefan Ba ...... keitsbedingungen erfüllt sind.
@de
Em análise funcional, uma álge ...... idade multiplicativa , então .
@pt
En mathématiques, l'algèbre de ...... ais Stefan Banach (1892-1945).
@fr
In de functionaalanalyse, een ...... van vectoren is gedefinieerd.
@nl
In matematica, soprattutto in ...... tiene è detta algebra normata.
@it
In mathematics, especially fun ...... y into a unital Banach algebra
@en
Un álgebra de Banach es un esp ...... amente las álgebras de Banach.
@es
Ба́наховой алгеброй над компле ...... венна. Всякую банахову алгебру
@ru
数学の、特に関数解析学の分野におけるバナッハ環（バナッハかん ...... についても同様に定義できる。これは p-進解析の一部である。
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label
Algebra Banacha
@pl
Algebra di Banach
@it
Algèbre de Banach
@fr
Banach algebra
@en
Banach-algebra
@nl
Banachalgebra
@de
Álgebra de Banach
@pt
Álgebras de Banach
@es
Банахова алгебра
@ru
バナッハ環
@ja