Question

Norm of sequence of invertible elements in a Banach Algebra convering to a non-invertible element.

score 85 · Answer 1 · 2023-03-08 18:05:08

85

Views

Norm of sequence of invertible elements in a Banach Algebra convering to a non-invertible element.

Published on 08 Mar 2023 - 18:05

score 47 · Answer 2 · 2023-03-15 05:33:19

47

Views

Defining Fourier Transfrom using Banach Algebra from $L^1(\mathbb R)^n \to L^1(\mathbb R)^n$

Published on 15 Mar 2023 - 5:33

score 268 · Answer 3 · 2026-03-26 04:36:40

268

Views

If $G$ is a locally compact group and $L^1(G)$ is unital, then $G$ is discrete.

Published on 26 Mar 2026 - 4:36

score 54 · Answer 4 · 2023-03-19 22:02:56

54

Views

Continuity on the transform $f\mapsto f^{-1}$ in Wiener algebra

Published on 19 Mar 2023 - 22:02

score 19 · Answer 5 · 2023-03-20 15:22:00

19

Views

Showing that this hermitian functional is positive

Published on 20 Mar 2023 - 15:22

score 57 · Answer 6 · 2026-03-26 12:48:34

57

Views

Proof of $\limsup_{n\to\infty} \|a^n\|^{1/n} \le r(a)$

Published on 26 Mar 2026 - 12:48

score 40 · Answer 7 · 2023-03-22 15:23:42

40

Views

Why does a multiplicative functional $m \in \Delta_A$ extend uniquely to $m^e \in \Delta_{A^e}$?

Published on 22 Mar 2023 - 15:23

score 79 · Answer 8 · 2023-03-24 09:52:54

79

Views

Bound of the norm of $f^{-1}$ in Wiener algebra

Published on 24 Mar 2023 - 9:52

score 125 · Answer 9 · 2023-03-29 14:36:21

125

Views

Is the exponential map of a complex unital Banach algebra surjective onto the set of (two-sidedly) invertible elements?

Published on 29 Mar 2023 - 14:36

score 80 · Answer 10 · 2023-03-29 16:32:10

80

Views

Does the unitization of a Banach algebra satisfy some universal property?

Published on 29 Mar 2023 - 16:32

score 99 · Answer 11 · 2023-03-29 16:39:16

99

Views

If $A$ is a unital Banach algebra, how is $\sigma_A(a)$ related to $\sigma_{A^e}(a)$?

Published on 29 Mar 2023 - 16:39

score 99 · Answer 12 · 2023-03-30 11:10:18

99

Views

Generalization of Banach algebra for Sobolev spaces

Published on 30 Mar 2023 - 11:10

score 171 · Answer 13 · 2026-03-26 04:16:06

171

Views

Proof of the Gelfand-Naimark Theorem

Published on 26 Mar 2026 - 4:16

score 69 · Answer 14 · 2023-04-04 07:50:27

69

Views

A question regarding holomorphic functional calculus

Published on 04 Apr 2023 - 7:50

score 50 · Answer 15 · 2023-04-11 05:08:56

50

Views

An element of $C(\mathbb{D})$ which is not in the connected component

Published on 11 Apr 2023 - 5:08

List Question

Norm of sequence of invertible elements in a Banach Algebra convering to a non-invertible element.

Defining Fourier Transfrom using Banach Algebra from $L^1(\mathbb R)^n \to L^1(\mathbb R)^n$

If $G$ is a locally compact group and $L^1(G)$ is unital, then $G$ is discrete.

Continuity on the transform $f\mapsto f^{-1}$ in Wiener algebra

Showing that this hermitian functional is positive

Proof of $\limsup_{n\to\infty} \|a^n\|^{1/n} \le r(a)$

Why does a multiplicative functional $m \in \Delta_A$ extend uniquely to $m^e \in \Delta_{A^e}$?

Bound of the norm of $f^{-1}$ in Wiener algebra

Is the exponential map of a complex unital Banach algebra surjective onto the set of (two-sidedly) invertible elements?

Does the unitization of a Banach algebra satisfy some universal property?

If $A$ is a unital Banach algebra, how is $\sigma_A(a)$ related to $\sigma_{A^e}(a)$?

Generalization of Banach algebra for Sobolev spaces

Proof of the Gelfand-Naimark Theorem

A question regarding holomorphic functional calculus

An element of $C(\mathbb{D})$ which is not in the connected component

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