List questions from banach-spaces

Published on 10 Apr 2026 - 15:52

1k

Views

Consider the Banach Space $C[0,1]$. Find decomposition of spectrum of the indefinite integral operator.

Published on 03 Apr 2026 - 11:53

261

Views

What is the closure of the absolutely convex hull of this set?

Published on 29 Mar 2026 - 14:25

98

Views

Hahn-Banach separation theorem with a countable subset of functionals

Published on 18 Nov 2015 - 13:58

3.2k

Views

Dual space of arbitrary direct sum is the direct sum of dual spaces

Published on 30 Mar 2026 - 0:05

164

Views

When is a subspace of $V^*$ dense, where $V$ is a Banach space?

Published on 12 Apr 2026 - 11:55

176

Views

Show that $T: X \to Y $ is a bounded linear operator

Published on 09 Apr 2026 - 22:55

331

Views

Pointwise convergence in $C(K)$ where $K$ is compact hausdorff

Published on 13 Apr 2026 - 6:11

565

Views

Proving that the spectral radius of a nilpotent element of a Banach algebra is equal to zero.

Published on 09 Mar 2026 - 14:13

180

Views

In a Banach space, $x_n \to x$ and $f_n \to f$ weak* implies $f_n(x_n) \to f(x)$

Published on 20 Nov 2015 - 18:07

3.2k

Views

Every separable Banach space is isomorphic to $\ell_1/A$ for some closed $A\subset \ell_1$

Published on 20 Nov 2015 - 20:48

933

Views

Can we classify weakly compact subsets of $l^{\infty}$?

Published on 26 Mar 2026 - 23:13

38

Views

In the space $l_1$,$0$ is not in $conv^* \{e_i\}$

Published on 12 Apr 2026 - 18:45

93

Views

How to see a set is clopen

Published on 12 Apr 2026 - 20:04

108

Views

Set of poinwise convergence of a sequence of weak* continuous linear functionals is weak* closed?

Published on 11 Apr 2026 - 16:23

List Question

Existence of Unitary Map

Consider the Banach Space $C[0,1]$. Find decomposition of spectrum of the indefinite integral operator.

What is the closure of the absolutely convex hull of this set?

Hahn-Banach separation theorem with a countable subset of functionals

Dual space of arbitrary direct sum is the direct sum of dual spaces

When is a subspace of $V^*$ dense, where $V$ is a Banach space?

Show that $T: X \to Y $ is a bounded linear operator

Pointwise convergence in $C(K)$ where $K$ is compact hausdorff

Proving that the spectral radius of a nilpotent element of a Banach algebra is equal to zero.

In a Banach space, $x_n \to x$ and $f_n \to f$ weak* implies $f_n(x_n) \to f(x)$

Every separable Banach space is isomorphic to $\ell_1/A$ for some closed $A\subset \ell_1$

Can we classify weakly compact subsets of $l^{\infty}$?

In the space $l_1$,$0$ is not in $conv^* \{e_i\}$

How to see a set is clopen

Set of poinwise convergence of a sequence of weak* continuous linear functionals is weak* closed?

Trending Questions

Popular # Hahtags

Popular Questions