List questions from topological-vector-spaces

Published on 29 Mar 2026 - 16:50

30

Views

if $v$ is a member of $H$ and $v$ is not a member of $M$ then $u$ is member of $K$. How is this possible?

Published on 29 Mar 2026 - 10:08

131

Views

Every locally connected non separating plane continuum is an AR

Published on 01 Oct 2013 - 5:18

63

Views

Notions of topological spaces and matrices

Published on 01 Oct 2013 - 6:41

221

Views

How can we ensure that a space is a subset of locally convex topological space?

Published on 02 Oct 2013 - 13:50

75

Views

How general is the convergence of the exponential function's power series?

Published on 03 Oct 2013 - 3:41

9.5k

Views

Sum of closed and compact set in a TVS

Published on 23 Feb 2026 - 6:01

280

Views

Constructing a closed, convex subset of $X^{\ast}$ that is not weakly-* closed

Published on 06 Oct 2013 - 21:58

293

Views

How to prove in a topological vector space: cl(A) + cl(B) is a subset of cl(A+B), where cl denotes closure?

Published on 19 Oct 2013 - 20:41

203

Views

In a topological vector space, show if $A$ and $B$ are bounded, then $A + B$ is bounded?

Published on 20 Oct 2013 - 17:46

82

Views

Proof details for the first theorem in functional analysis

Published on 24 Oct 2013 - 9:51

1.2k

Views

is the vector space $\mathbb{R}^\mathbb{N}$ locally compact?

Published on 26 Mar 2026 - 19:24

405

Views

Question on the proof that $C(\Omega)$ is a Frechet space

Published on 30 Oct 2013 - 13:51

813

Views

Example of a sequence of functions

Published on 13 Nov 2013 - 2:42

269

Views

Measure-valued maps equal a.e. if their integrals equal over any set

Published on 15 Nov 2013 - 15:16

List Question

Dual of a topological vector space. Is it nontrivial?

if $v$ is a member of $H$ and $v$ is not a member of $M$ then $u$ is member of $K$. How is this possible?

Every locally connected non separating plane continuum is an AR

Notions of topological spaces and matrices

How can we ensure that a space is a subset of locally convex topological space?

How general is the convergence of the exponential function's power series?

Sum of closed and compact set in a TVS

Constructing a closed, convex subset of $X^{\ast}$ that is not weakly-* closed

How to prove in a topological vector space: cl(A) + cl(B) is a subset of cl(A+B), where cl denotes closure?

In a topological vector space, show if $A$ and $B$ are bounded, then $A + B$ is bounded?

Proof details for the first theorem in functional analysis

is the vector space $\mathbb{R}^\mathbb{N}$ locally compact?

Question on the proof that $C(\Omega)$ is a Frechet space

Example of a sequence of functions

Measure-valued maps equal a.e. if their integrals equal over any set

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