List questions from banach-algebras

Published on 23 Feb 2026 - 6:03

66

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Clarification on Wolfram Mathworld's explanation of the connection between Gelfand Transform and Fourier Transform

Published on 12 Aug 2015 - 2:08

30

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Definition of $K_1(A)$ for a Banach algebra $A$

Published on 25 Mar 2026 - 19:11

242

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Does there exists an approximate identity in Fréchet algebra $\mathcal{S}(\mathbb R)$?

Published on 14 Aug 2015 - 12:15

1.2k

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Examples of algebras that have a bounded approximate identity

Published on 18 Aug 2015 - 15:01

152

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Does $(\ell^{1}(\mathbb Z), \cdot)$ have a bounded approximate identity?

Published on 20 Aug 2015 - 10:50

209

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An isomorphism between two Banach algebras

Published on 22 Aug 2015 - 16:45

101

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For which $F$ we have $F(f\ast g)= f\ast F(g)$ for all $f,g \in L^{1}$?

Published on 25 Aug 2015 - 5:21

72

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Radius of convergence of Taylor expansion of $z \mapsto (1 - z \cdot a)^{-1}$

Published on 30 Aug 2015 - 16:48

283

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Linear Operators and Convergence

Published on 03 Sep 2015 - 8:40

152

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How to handle direct sums and unitizations of $L^p$ operator algebras?

Published on 07 Sep 2015 - 4:24

101

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Are there partial isometries, isometries?

Published on 08 Sep 2015 - 18:22

57

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Proposed proof of operator theory result

Published on 09 Sep 2015 - 13:16

216

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Proof involving invertible elements of Banach algebra

Published on 09 Sep 2015 - 17:22

742

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Using Fubini's Theorem in Contour Integrals proof

Published on 10 Sep 2015 - 18:59

List Question

Derivation into dense ideal of Banach algebras

Clarification on Wolfram Mathworld's explanation of the connection between Gelfand Transform and Fourier Transform

Definition of $K_1(A)$ for a Banach algebra $A$

Does there exists an approximate identity in Fréchet algebra $\mathcal{S}(\mathbb R)$?

Examples of algebras that have a bounded approximate identity

Does $(\ell^{1}(\mathbb Z), \cdot)$ have a bounded approximate identity?

An isomorphism between two Banach algebras

For which $F$ we have $F(f\ast g)= f\ast F(g)$ for all $f,g \in L^{1}$?

Radius of convergence of Taylor expansion of $z \mapsto (1 - z \cdot a)^{-1}$

Linear Operators and Convergence

How to handle direct sums and unitizations of $L^p$ operator algebras?

Are there partial isometries, isometries?

Proposed proof of operator theory result

Proof involving invertible elements of Banach algebra

Using Fubini's Theorem in Contour Integrals proof

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