List questions from banach-algebras

Published on 14 Apr 2026 - 17:29

54

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In Banach *-algebra, every positive linear functional is bounded.

Published on 11 Apr 2026 - 22:22

417

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"Passing Through Convex Combinations" - Constructing a Norm Convergent Net from a Weakly Convergent Net

Published on 16 Apr 2026 - 9:46

90

Views

Example of a topological space $X$ such that $C_0 (X)$ is not a $C^*$-sub-algebra of $C^b (X)$

Published on 17 Apr 2026 - 12:00

317

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Commutative unital Banach algebra not isomorphic to $C(X)$ for some compact Hausdorff space $X$

Published on 13 Apr 2026 - 20:18

48

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Spectrum of the difference of almost commuting elements

Published on 14 Apr 2026 - 21:42

272

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Maximal modular ideal

Published on 10 Apr 2026 - 0:47

36

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A problem with notation on B. Maccluer's book

Published on 16 Apr 2026 - 3:25

115

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$||\phi_z - \phi_w||_{A(\mathbb{D})^*}= 2$ if and only if $z$ or $w$ in $\mathbb{T}$

Published on 16 Apr 2026 - 21:55

59

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Is $\mathcal{A}=\left\{M_{\varphi} | \varphi \in C([0,1])\right\}$ a Banach algebra?

Published on 17 Apr 2026 - 15:42

39

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When is a weak topology Baire?

Published on 12 Apr 2026 - 10:04

42

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Is there a isomorphism $M_n(C(X))\cong C(X)\otimes M_n(\mathbb{C})$?

Published on 14 Apr 2026 - 9:04

62

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Question on quotient presentations of affinoid/Tate algebras

Published on 12 Apr 2026 - 4:46

239

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How can I find the derivative of $L_1$ norm?

Published on 17 Apr 2026 - 12:44

85

Views

Central Linear Functionals form a Closed Subspace

Published on 13 Apr 2026 - 22:31

List Question

Gelfand-Mazur complex part mean what it says?

In Banach *-algebra, every positive linear functional is bounded.

"Passing Through Convex Combinations" - Constructing a Norm Convergent Net from a Weakly Convergent Net

Example of a topological space $X$ such that $C_0 (X)$ is not a $C^*$-sub-algebra of $C^b (X)$

Commutative unital Banach algebra not isomorphic to $C(X)$ for some compact Hausdorff space $X$

Spectrum of the difference of almost commuting elements

Maximal modular ideal

A problem with notation on B. Maccluer's book

$||\phi_z - \phi_w||_{A(\mathbb{D})^*}= 2$ if and only if $z$ or $w$ in $\mathbb{T}$

Is $\mathcal{A}=\left\{M_{\varphi} | \varphi \in C([0,1])\right\}$ a Banach algebra?

When is a weak topology Baire?

Is there a isomorphism $M_n(C(X))\cong C(X)\otimes M_n(\mathbb{C})$?

Question on quotient presentations of affinoid/Tate algebras

How can I find the derivative of $L_1$ norm?

Central Linear Functionals form a Closed Subspace

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