List questions from banach-spaces

Published on 09 Apr 2026 - 22:04

61

Views

${x_n} \to x$ weakly, why does $T{x_n} \to Tx$ weakly?

Published on 16 Jun 2015 - 15:26

1.9k

Views

Show that if $\sum x_n$ converges then $x_n \to 0$

Published on 02 Apr 2026 - 5:59

171

Views

example of the arens multiplication; I want to understand the construction

Published on 28 Mar 2026 - 21:34

60

Views

A problem which reverses the definition of a bounded operator

Published on 08 Apr 2026 - 18:34

1k

Views

Double annihilator of subspace of dual space

Published on 18 Jun 2015 - 16:15

172

Views

Spectrum of integration operator on $C[0,1]$.

Published on 11 Apr 2026 - 19:43

205

Views

Prove that, in a $C^*$-algebra, if a self-adjoint $a$ has infinite spectrum, then the algebra is infinite-dimensional

Published on 28 Mar 2026 - 21:34

372

Views

Dense subsets in tensor products of Banach spaces

Published on 20 Jun 2015 - 23:49

798

Views

Relation between two p-norms

Published on 10 Apr 2026 - 8:52

268

Views

Tensor product of bounded analytic functions

Published on 25 Mar 2026 - 17:38

987

Views

Leray-Schauder fixed point theorem and remark

Published on 31 Mar 2026 - 11:35

40

Views

Question regarding convergence in $L^p$ spaces.

Published on 23 Jun 2015 - 21:07

1.8k

Views

Hamel Basis in Infinite dimensional Banach Space without Baire Category Theorem

Published on 10 Apr 2026 - 3:36

304

Views

A Banach space of (Hamel) dimension $\kappa$ exists if and only if $\kappa^{\aleph_0}=\kappa$

Published on 03 Apr 2026 - 4:21

List Question

Is a Banach space also a metric space?

${x_n} \to x$ weakly, why does $T{x_n} \to Tx$ weakly?

Show that if $\sum x_n$ converges then $x_n \to 0$

example of the arens multiplication; I want to understand the construction

A problem which reverses the definition of a bounded operator

Double annihilator of subspace of dual space

Spectrum of integration operator on $C[0,1]$.

Prove that, in a $C^*$-algebra, if a self-adjoint $a$ has infinite spectrum, then the algebra is infinite-dimensional

Dense subsets in tensor products of Banach spaces

Relation between two p-norms

Tensor product of bounded analytic functions

Leray-Schauder fixed point theorem and remark

Question regarding convergence in $L^p$ spaces.

Hamel Basis in Infinite dimensional Banach Space without Baire Category Theorem

A Banach space of (Hamel) dimension $\kappa$ exists if and only if $\kappa^{\aleph_0}=\kappa$

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