Fréchet space (Q1471397): Difference between revisions

@@ label / tr / label / tr @@
-F uzayı
+Fréchet uzayı
@@ label / ca / label / ca @@
-Espai de Fréchet
+espai de Fréchet
@@ label / zh-hant / label / zh-hant @@
+弗雷歇空間
@@ label / zh-hans / label / zh-hans @@
+弗雷歇空间
@@ label / af / label / af @@
+Fréchet-ruimte
@@ label / ar / label / ar @@
+فضاء فريشيه
@@ label / fa / label / fa @@
+فضای فرشه
@@ label / ur / label / ur @@
+فریشے فضا
@@ label / ga / label / ga @@
+spás Fréchet
@@ aliases / eo / 0 / aliases / eo / 0 @@
+Freŝea spaco
@@ aliases / zh-hant / 0 / aliases / zh-hant / 0 @@
+Fréchet 空間
@@ description / ca / description / ca @@
-En anàlisi funcional, espai vectorial topològic que generalitza els espais de Banach.
+en anàlisi funcional, espai vectorial topològic que generalitza els espais de Banach
@@ description / de / description / de @@
+ein hausdorffscher, lokalkonvexer und vollständiger topologischer Vektorraum mit einer abzählbaren Nullumgebungsbasis
@@ description / es / description / es @@
+espacio localmente convexo que está completo con respecto a una métrica invariante a la traslación
@@ description / pl / description / pl @@
+typ metryzowalnej przestrzeni liniowo-topologicznej
@@ description / fr / description / fr @@
+un espace vectoriel topologique localement convexe et métrisable par une distance complète et invariante par translation
@@ description / it / description / it @@
+uno spazio vettoriale topologico localmente convesso che è completo rispetto a una metrica invariante sotto traslazione
@@ description / ja / description / ja @@
+平行移動不変距離関数に関して完備な局所凸空間
@@ Property / PlanetMath ID / Property / PlanetMath ID @@
-frechetspace
+FrechetSpace
@@ Property / subclass of @@
+webbed space
@@ Property / subclass of: webbed space / rank @@
+Normal rank
@@ Property / subclass of @@
+Baire space
@@ Property / subclass of: Baire space / rank @@
+Normal rank
@@ Property / defining formula @@
+ ${\begin{aligned}&\|-\|_{1},\|-\|_{2},\dotsc \colon X\to \mathbb {R} _{\geq 0}\\&\|\lambda x\|_{k}=|\lambda |\|x\|_{k}\\&\|x+y\|_{k}\leq \|x\|_{k}+\|y\|_{k}\\&x=0\iff \forall k>0\colon \|x\|_{k}=0\\&U\in \operatorname {Open} (X)\iff \forall u\in U\exists K>0,r>0\colon \{x\in X\colon \forall k\geq K\colon \|u-x\|_{k}<r\}\subset U\end{aligned}}$ 
\begin{aligned}&\|-\|_1,\|-\|_2,\dotsc\colon X\to\mathbb R_{\ge0}\\&\|\lambda x\|_k=|\lambda|\|x\|_k\\&\|x+y\|_k\le\|x\|_k+\|y\|_k\\&x=0\iff\forall k>0\colon\|x\|_k=0\\&U\in\operatorname{Open}(X)\iff\forall u\in U\exists K>0,r>0\colon\{x\in X\colon\forall k\ge K\colon\|u-x\|_k<r\}\subset U\end{aligned}
+Normal rank
@@ Property / OpenAlex ID @@
+C117145882
@@ Property / OpenAlex ID: C117145882 / rank @@
+Normal rank
@@ Property / OpenAlex ID: C117145882 / reference @@
+stated in: OpenAlex
retrieved: 26 January 2022Timestamp +2022-01-26T00:00:00Z
Zeitzone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
reference URL: https://docs.openalex.org/download-snapshot/snapshot-data-format
-Timestamp
++2022-01-26T00:00:00Z
-Zeitzone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / Treccani's Enciclopedia della Matematica ID @@
+spazio-di-frechet
+Normal rank
+subject named as: Frechet, spazio di
+publication date: 2017Timestamp +2017-01-01T00:00:00Z
Zeitzone +00:00
Calendar Gregorian
Precision 1 year
Before 0
After 0
-Timestamp
++2017-01-01T00:00:00Z
-Zeitzone
++00:00
-Calendar
+Gregorian
-Precision
+year
 Before
 After
@@ Property / MathWorld ID @@
+FrechetSpace
@@ Property / MathWorld ID: FrechetSpace / rank @@
+Normal rank
@@ Property / maintained by WikiProject @@
+WikiProject Mathematics
@@ Property / maintained by WikiProject: WikiProject Mathematics / rank @@
+Normal rank
@@ links / arwiki / name / links / arwiki / name @@
+فضاء فريشيه