List questions from banach-algebras

Published on 25 Mar 2026 - 6:29

111

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What does it mean to say that a set is radical in Banach Algebra

Published on 29 Apr 2018 - 11:53

38

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$(x_n)$ be sequence such that $x_n \to x$ in $B$. And $r(x_n)=0 \ \forall n$ . Then does it imply $r(x)=0$??

Published on 29 Apr 2018 - 13:27

438

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Show that the maximal ideal space of $l^{\infty}$ is totally disconnected.

Published on 25 Mar 2026 - 8:09

97

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Spectral Permanance in $C^{*}$ algebras

Published on 23 Mar 2026 - 0:16

349

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Show that maximal ideal space of $M_n(\mathbb{C})$ is empty?

Published on 25 Mar 2026 - 8:09

193

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Show that if $B$ is a maximal abelian subalgebra of a unital Banach algebra $A$.Then $B$ is closed and contains the unit.

Published on 01 May 2018 - 14:25

69

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Character space of $C^{0}(X)$

Published on 22 Mar 2026 - 18:41

495

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Range of the Gelfand transform on a non-unital Banach algebra

Published on 23 Mar 2026 - 13:47

378

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Dual of the space of all bounded holomorphic functions

Published on 25 Mar 2026 - 4:41

65

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Regarding $A(D)$ and $H^\infty(D)$

Published on 13 May 2018 - 3:58

90

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Proof that the Discrete Group Algebra is Indeed an Algebra

Published on 15 May 2018 - 17:14

977

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Witt's proof of Gelfand-Mazur / Ostrowski's theorem

Published on 21 May 2018 - 6:32

161

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A precise definition of contractible Banach algebras.

Published on 23 May 2018 - 13:02

544

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Minor Detail in the Proof of the Spectral Radius Formula

Published on 29 May 2018 - 13:25

List Question

The ranges of $T+iI$ and of $T-iI$.

What does it mean to say that a set is radical in Banach Algebra

$(x_n)$ be sequence such that $x_n \to x$ in $B$. And $r(x_n)=0 \ \forall n$ . Then does it imply $r(x)=0$??

Show that the maximal ideal space of $l^{\infty}$ is totally disconnected.

Spectral Permanance in $C^{*}$ algebras

Show that maximal ideal space of $M_n(\mathbb{C})$ is empty?

Show that if $B$ is a maximal abelian subalgebra of a unital Banach algebra $A$.Then $B$ is closed and contains the unit.

Character space of $C^{0}(X)$

Range of the Gelfand transform on a non-unital Banach algebra

Dual of the space of all bounded holomorphic functions

Regarding $A(D)$ and $H^\infty(D)$

Proof that the Discrete Group Algebra is Indeed an Algebra

Witt's proof of Gelfand-Mazur / Ostrowski's theorem

A precise definition of contractible Banach algebras.

Minor Detail in the Proof of the Spectral Radius Formula

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