List questions from banach-algebras

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Given a Banach Algebra $A$ and elements $x,y \in A$. If $x$ and $xy$ are invertible, then so is $y$.

Published on 13 Aug 2012 - 20:22

513

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Universal separable Banach algebras

Published on 23 Aug 2012 - 16:30

2.3k

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Some examples in C* algebras and Banach * algebras

Published on 30 Mar 2026 - 7:43

1.7k

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Show that the spectral radius is an upper semi-continuous function

Published on 23 Sep 2012 - 17:33

231

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Decomposing $\mathcal{B}(H)$

Published on 24 Sep 2012 - 13:13

234

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Multiplication operators

Published on 28 Sep 2012 - 18:57

157

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Amenability of finite dimensional norm algebras

Published on 23 Feb 2026 - 9:49

64

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Initial topology of the spectrum mapping $\sigma$

Published on 08 Oct 2012 - 15:40

299

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Does the non-emptiness of the spectrum of an element of a Banach algebra depend on the Axiom of Choice?

Published on 19 Oct 2012 - 14:22

132

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Density of operators

Published on 31 Oct 2012 - 15:26

176

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Functional Interpretation of Variety?

Published on 26 Mar 2026 - 10:58

469

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What is the generator of the disc algebra

Published on 01 Dec 2012 - 6:17

649

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$\sigma(x)$ has no hole in the algebra of polynomials

Published on 03 Dec 2012 - 10:22

918

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Spectrum of elements in $C^*$-subalgebras

Published on 06 Dec 2012 - 10:58

154

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$(\lambda-a)^{-1}$ as limits of 'polynomials'

Published on 07 Dec 2012 - 16:23

List Question

Given a Banach Algebra $A$ and elements $x,y \in A$. If $x$ and $xy$ are invertible, then so is $y$.

Universal separable Banach algebras

Some examples in C* algebras and Banach * algebras

Show that the spectral radius is an upper semi-continuous function

Decomposing $\mathcal{B}(H)$

Multiplication operators

Amenability of finite dimensional norm algebras

Initial topology of the spectrum mapping $\sigma$

Does the non-emptiness of the spectrum of an element of a Banach algebra depend on the Axiom of Choice?

Density of operators

Functional Interpretation of Variety?

What is the generator of the disc algebra

$\sigma(x)$ has no hole in the algebra of polynomials

Spectrum of elements in $C^*$-subalgebras

$(\lambda-a)^{-1}$ as limits of 'polynomials'

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