List questions from banach-algebras

Published on 30 Mar 2026 - 17:02

67

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Doubt in Murray-von Neumann equivalence

Published on 30 Mar 2026 - 16:59

123

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Kaplansky's formula

Published on 30 Mar 2026 - 16:58

74

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Showing that the map $a\to\exp(a)$ from $\mathcal{A}\to\mathcal{A}$ is continuous for a unital Banach algebra $\mathcal{A}$

Published on 11 Apr 2021 - 20:39

70

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Meaning of does not separate zero from infinity

Published on 16 Apr 2021 - 12:13

52

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Prove that it can be true that $σ(xy) \neq σ(yx)$ on a Banach algebra

Published on 17 Apr 2021 - 1:28

36

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Relation between spectrums of algebra and subalgebra

Published on 19 Apr 2021 - 0:52

72

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Iff conditions for $f(a)=g(a)$ for a nilpotent element $a$ in a Banach algebra

Published on 20 Apr 2021 - 14:22

375

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To find inverse of a linear operator

Published on 21 Apr 2021 - 20:44

34

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Prove the following inequality on a Banach Algebra $\mathcal{A}$

Published on 25 Apr 2021 - 17:06

52

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Iff conditions that f(a)=g(a) for a nilpotent element $a$ in a Banach algebra

Published on 28 Apr 2021 - 14:13

123

Views

In a C*-algebra , if $a\leq b$, then $a^{\alpha}\leq b^{\alpha}$, for $0<\alpha\leq1$

Published on 04 May 2021 - 12:27

181

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Example of non unital homomorphism of algebras

Published on 08 May 2021 - 12:50

90

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Spectral Inclusion

Published on 07 Jun 2021 - 16:54

88

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Counterexamples for Banach *-algebras

Published on 13 Jun 2021 - 5:55

List Question

Supremum of projections in von Neumann algebra

Doubt in Murray-von Neumann equivalence

Kaplansky's formula

Showing that the map $a\to\exp(a)$ from $\mathcal{A}\to\mathcal{A}$ is continuous for a unital Banach algebra $\mathcal{A}$

Meaning of does not separate zero from infinity

Prove that it can be true that $σ(xy) \neq σ(yx)$ on a Banach algebra

Relation between spectrums of algebra and subalgebra

Iff conditions for $f(a)=g(a)$ for a nilpotent element $a$ in a Banach algebra

To find inverse of a linear operator

Prove the following inequality on a Banach Algebra $\mathcal{A}$

Iff conditions that f(a)=g(a) for a nilpotent element $a$ in a Banach algebra

In a C*-algebra , if $a\leq b$, then $a^{\alpha}\leq b^{\alpha}$, for $0<\alpha\leq1$

Example of non unital homomorphism of algebras

Spectral Inclusion

Counterexamples for Banach *-algebras

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