List questions from weak-topology | MathQa

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

Published on 05 Jun 2025 - 2:51

Why is the quotient map from a Banach space open with respect to the weak topologies?

Published on 03 Jun 2025 - 18:20

Metric on $M[0,1]$ the space of measures

Published on 03 Jun 2025 - 10:45

Every weak*-closed subspace of the dual space of a normed space is the range of an adjoint operator

Published on 05 Jun 2025 - 9:25

How to show that $\lambda\in V^{**}$ is in the image of $V$ iff it is weak-* continuous?

Published on 04 Jun 2025 - 20:09

Weak closure of orthonormal basis in Hilbert space

Published on 03 Jun 2025 - 10:45

Is $\text{ball}_{R}(X^{\ast})\cap\bigcap_{i\in I}\{x^{\ast}\in X^{\ast} | \ |x^{\ast}(x_i)|\leq r_i\}$ norm (or weak*) connected?

Published on 04 Jun 2025 - 1:04

Weak closure of orthonormal basis in Hilbert space (2)

Published on 03 Jun 2025 - 22:47

Does every vector space with a weak topology contain a dense subspace which is a direct sum of real lines?

Published on 03 Jun 2025 - 22:52

Weaker and Stronger topologies (open sets, continuity and terminology)

Published on 03 Jun 2025 - 10:45