List questions from banach-algebras

Published on 05 May 2026 - 16:59

59

Views

To find an element in $A$ which is invertible in $B$ but not in $A$.

Published on 02 May 2026 - 18:17

64

Views

Let $\varphi: A \to \mathbb C$ be a non-zero homomorphism. How can we extend it to an homomorphism $\psi: \overline A \to \mathbb C$?

Published on 02 May 2026 - 18:28

2.2k

Views

Prove that the set of invertible elements in a Banach algebra is open

Published on 02 May 2026 - 18:30

252

Views

Separability of differentiable functions

Published on 29 Apr 2026 - 12:24

1.4k

Views

An injective continuous map between two compact Hausdorff spaces.

Published on 07 May 2026 - 10:33

98

Views

Banach algebra of functions under composition

Published on 27 Apr 2026 - 5:55

70

Views

Double limit of a net

Published on 05 May 2026 - 4:46

73

Views

Can we characterise $X$ being separable in terms of $C(X, \mathbb R)$?

Published on 07 May 2026 - 11:29

297

Views

Unit ball of the adjoint space of a separable Banach space is second-countable in the weak* topology.

Published on 02 May 2026 - 23:46

61

Views

A is a Banach $∗$-algebra.

Published on 10 May 2026 - 9:32

87

Views

Is multiplication in a normed algebra distributive?

Published on 03 May 2026 - 17:35

161

Views

Proving that a family of exponential operators has a uniform bound, without semigroup theory.

Published on 07 May 2026 - 6:02

255

Views

First isomorphism theorem for Banach algebra

Published on 28 Apr 2026 - 13:28

463

Views

The maximal ideal space of $L^{\infty} ([0,1],m)$ has no isolated points.

Published on 26 Apr 2026 - 10:51

List Question

Bijection between $\Delta(A)$ and $\mathrm{Max}(A)$

To find an element in $A$ which is invertible in $B$ but not in $A$.

Let $\varphi: A \to \mathbb C$ be a non-zero homomorphism. How can we extend it to an homomorphism $\psi: \overline A \to \mathbb C$?

Prove that the set of invertible elements in a Banach algebra is open

Separability of differentiable functions

An injective continuous map between two compact Hausdorff spaces.

Banach algebra of functions under composition

Double limit of a net

Can we characterise $X$ being separable in terms of $C(X, \mathbb R)$?

Unit ball of the adjoint space of a separable Banach space is second-countable in the weak* topology.

A is a Banach $∗$-algebra.

Is multiplication in a normed algebra distributive?

Proving that a family of exponential operators has a uniform bound, without semigroup theory.

First isomorphism theorem for Banach algebra

The maximal ideal space of $L^{\infty} ([0,1],m)$ has no isolated points.

Trending Questions

Popular # Hahtags

Popular Questions