Question

Let $E$ be a topological linear space, if $U$ is a neighbourhood of $0$ why is $U+x$ a neighbourhood of $x$?

score 37 · Answer 1 · 2015-10-30 16:11:21

37

Views

Let $E$ be a topological linear space, if $U$ is a neighbourhood of $0$ why is $U+x$ a neighbourhood of $x$?

Published on 30 Oct 2015 - 16:11

score 435 · Answer 2 · 2015-10-31 20:22:18

435

Views

How are the assumptions used in the proof of Bourbaki-Alaoglu Theorem?

Published on 31 Oct 2015 - 20:22

score 67 · Answer 3 · 2015-11-01 01:41:12

67

Views

Let $H$ be a real Hilbert space (an euclidian vector space over the real numbers field).

Published on 01 Nov 2015 - 1:41

score 127 · Answer 4 · 2026-03-20 06:57:05

127

Views

Kadets-Pelczynki criterion to prove Eberlein Smulian Theorem.

Published on 20 Mar 2026 - 6:57

score 180 · Answer 5 · 2026-03-27 00:07:59

180

Views

Differential operators acting on the Schwartz space

Published on 27 Mar 2026 - 0:07

score 19 · Answer 6 · 2015-11-03 10:09:15

19

Views

If $Z$ is Hausdorff and if $Z=M\oplus N$, then $M$ and $N$ are closed.

Published on 03 Nov 2015 - 10:09

score 139 · Answer 7 · 2015-11-06 15:19:56

139

Views

Show that any convex subset of a Banach space X is closed with respect to the norm if and only if it is closed in the weak topology

Published on 06 Nov 2015 - 15:19

score 651 · Answer 8 · 2026-03-18 02:47:51

651

Views

Are uncountable "Schauder-like" bases studied/used?

Published on 18 Mar 2026 - 2:47

score 423 · Answer 9 · 2015-11-09 19:36:18

423

Views

Why is the dual space with the weak*-topology a topological vector space?

Published on 09 Nov 2015 - 19:36

score 312 · Answer 10 · 2015-11-17 13:41:31

312

Views

The relation between Closed Operators (the graph is closed) and Closed Mappings (images of closed sets are closed)

Published on 17 Nov 2015 - 13:41

score 524 · Answer 11 · 2026-03-26 19:40:29

524

Views

what is a cofinal sequence?

Published on 26 Mar 2026 - 19:40

score 483 · Answer 12 · 2026-03-26 23:19:03

483

Views

Continuous inclusions in locally convex spaces

Published on 26 Mar 2026 - 23:19

score 641 · Answer 13 · 2015-11-21 00:37:09

641

Views

How can this theorem about weakly measurable functions on $\sigma$-finite measure spaces be deduced from the finite measure space case?

Published on 21 Nov 2015 - 0:37

score 932 · Answer 14 · 2015-11-21 13:03:49

932

Views

Vector space of all Lebesgue measurable functions

Published on 21 Nov 2015 - 13:03

score 202 · Answer 15 · 2015-11-22 21:32:43

202

Views

from finite to $\sigma$-finite measure space

Published on 22 Nov 2015 - 21:32

List Question

Let $E$ be a topological linear space, if $U$ is a neighbourhood of $0$ why is $U+x$ a neighbourhood of $x$?

How are the assumptions used in the proof of Bourbaki-Alaoglu Theorem?

Let $H$ be a real Hilbert space (an euclidian vector space over the real numbers field).

Kadets-Pelczynki criterion to prove Eberlein Smulian Theorem.

Differential operators acting on the Schwartz space

If $Z$ is Hausdorff and if $Z=M\oplus N$, then $M$ and $N$ are closed.

Show that any convex subset of a Banach space X is closed with respect to the norm if and only if it is closed in the weak topology

Are uncountable "Schauder-like" bases studied/used?

Why is the dual space with the weak*-topology a topological vector space?

The relation between Closed Operators (the graph is closed) and Closed Mappings (images of closed sets are closed)

what is a cofinal sequence?

Continuous inclusions in locally convex spaces

How can this theorem about weakly measurable functions on $\sigma$-finite measure spaces be deduced from the finite measure space case?

Vector space of all Lebesgue measurable functions

from finite to $\sigma$-finite measure space

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