Banach–Stone theorem
In mathematics, the Banach–Stone theorem is a classical result in the theory of continuous functions on topological spaces, named after the mathematicians Stefan Banach and Marshall Stone. In brief, the Banach–Stone theorem allows one to recover a compact Hausdorff space from the algebra of scalars (the bounded continuous functions on the space). In modern language, this is the commutative case of the spectrum of a C*-algebra, and the Banach–Stone theorem can be seen as a functional analysis analog of the connection between a ring R and the spectrum of a ring Spec(R) in algebraic geometry.
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Banach–Stone theorem
In mathematics, the Banach–Stone theorem is a classical result in the theory of continuous functions on topological spaces, named after the mathematicians Stefan Banach and Marshall Stone. In brief, the Banach–Stone theorem allows one to recover a compact Hausdorff space from the algebra of scalars (the bounded continuous functions on the space). In modern language, this is the commutative case of the spectrum of a C*-algebra, and the Banach–Stone theorem can be seen as a functional analysis analog of the connection between a ring R and the spectrum of a ring Spec(R) in algebraic geometry.
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Der Satz von Banach-Stone ist ...... weitergehenden Untersuchungen.
@de
En mathématiques, le théorème ...... , alors ils sont homéomorphes.
@fr
In mathematics, the Banach–Sto ...... Spec(R) in algebraic geometry.
@en
Twierdzenie Banacha-Stone’a - ...... Marshall Harvey Stone w 1937.
@pl
Wikipage page ID
12,772,382
Wikipage revision ID
607,154,864
hypernym
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Der Satz von Banach-Stone ist ...... bis auf Isomorphie festlegen.
@de
En mathématiques, le théorème ...... , alors ils sont homéomorphes.
@fr
In mathematics, the Banach–Sto ...... Spec(R) in algebraic geometry.
@en
Twierdzenie Banacha-Stone’a - ...... Marshall Harvey Stone w 1937.
@pl
label
Banach–Stone theorem
@en
Satz von Banach-Stone
@de
Théorème de Banach-Stone
@fr
Twierdzenie Banacha-Stone’a
@pl