List questions from topological-vector-spaces

Published on 27 Feb 2012 - 17:00

63

Views

When is a subset of {0,1} valued borel functions on a standard borel space (polish space) complete (see *) under the pointwise convergence topology?

Published on 29 Mar 2026 - 8:14

398

Views

Does "two topological vector spaces in duality" means they are each other's continuous dual?

Published on 31 Mar 2012 - 20:12

182

Views

How is the topology on a vector space induced from its base field $\mathbb{R}$?

Published on 04 Apr 2012 - 2:21

3.3k

Views

Generic topology on a vector space?

Published on 05 Apr 2012 - 8:30

125

Views

Consequence of metrizability proof - disregard, the question is an error

Published on 12 Apr 2012 - 19:02

3.3k

Views

Must a complete space be locally compact?

Published on 21 Apr 2012 - 5:36

18.2k

Views

The kernel of a continuous linear operator is a closed subspace?

Published on 23 Apr 2012 - 13:24

160

Views

Topological fields questions

Published on 28 Apr 2012 - 6:40

5.5k

Views

When do weak and original topology coincide?

Published on 29 Apr 2012 - 19:25

725

Views

Do the notions of weak and weak* convergence coincide for $\ell^1(\mathbb{N})$?

Published on 12 May 2012 - 2:49

1.5k

Views

Weak -topology of $X^$ is metrizable if and only if ...

Published on 13 May 2012 - 5:15

225

Views

Closure of a nontrivial normed vector subspace that is equal to the whole space

Published on 17 May 2012 - 2:22

414

Views

Vector Analysis & Linear Algebra

Published on 22 May 2012 - 15:22

200

Views

Connected components that are relatively open in $\sigma(T)$

Published on 23 May 2012 - 14:22

List Question

Are topological vector spaces completely regular?

When is a subset of {0,1} valued borel functions on a standard borel space (polish space) complete (see *) under the pointwise convergence topology?

Does "two topological vector spaces in duality" means they are each other's continuous dual?

How is the topology on a vector space induced from its base field $\mathbb{R}$?

Generic topology on a vector space?

Consequence of metrizability proof - disregard, the question is an error

Must a complete space be locally compact?

The kernel of a continuous linear operator is a closed subspace?

Topological fields questions

When do weak and original topology coincide?

Do the notions of weak and weak* convergence coincide for $\ell^1(\mathbb{N})$?

Weak -topology of $X^$ is metrizable if and only if ...

Closure of a nontrivial normed vector subspace that is equal to the whole space

Vector Analysis & Linear Algebra

Connected components that are relatively open in $\sigma(T)$

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