List questions from banach-algebras

Published on 09 Oct 2023 - 16:08

27

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How to salvage this quick proof of the exponential sum law in Banach algebras

Published on 17 Oct 2023 - 19:30

200

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Maximal ideal space of the $n$-dimensional ball algebra

Published on 27 Oct 2023 - 2:41

23

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Let $I$ be a semiprime ideal of $\mathbf{A}$. Suppose $a\mathbf{A}a \subseteq I$ for some $a$. Show that $a \in I$.

Published on 31 Oct 2023 - 11:57

104

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Maximal ideal space of an $L^\infty$ space is extremely disconnected

Published on 03 Nov 2023 - 20:01

208

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Decomposition of the spectrum of a closed Banach subalgebra

Published on 04 Nov 2023 - 17:36

470

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Example of operator that commutes with a given multiplication that is not itself a multiplication.

Published on 12 Nov 2023 - 20:07

30

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Is the given space is a banach algebra and find it’s maximal ideal space?

Published on 18 Nov 2023 - 15:28

65

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Inequality between exponential in unital Banach Algebra

Published on 20 Nov 2023 - 16:34

39

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Need help understanding proof that $\hat{x} (\hat{A}) = \sigma(x)$

Published on 01 Dec 2023 - 21:52

48

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Trying to understand the functional calculus of a unitary operator.

Published on 23 Feb 2026 - 2:57

45

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$L^1(G)$ is a Banach *-Algebra

Published on 25 Mar 2026 - 14:31

58

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Definition of Poles in spectral theory

Published on 30 Dec 2023 - 21:13

32

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An isolated point in the spectrum must be a point in the approximate point spectrum??

Published on 31 Dec 2023 - 16:24

98

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Exponential boundedness of a strongly continuous semigroup $(T_t)_{t>0}$.

Published on 26 Mar 2026 - 23:09

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Resolvent inequality follows it's boundness

How to salvage this quick proof of the exponential sum law in Banach algebras

Maximal ideal space of the $n$-dimensional ball algebra

Let $I$ be a semiprime ideal of $\mathbf{A}$. Suppose $a\mathbf{A}a \subseteq I$ for some $a$. Show that $a \in I$.

Maximal ideal space of an $L^\infty$ space is extremely disconnected

Decomposition of the spectrum of a closed Banach subalgebra

Example of operator that commutes with a given multiplication that is not itself a multiplication.

Is the given space is a banach algebra and find it’s maximal ideal space?

Inequality between exponential in unital Banach Algebra

Need help understanding proof that $\hat{x} (\hat{A}) = \sigma(x)$

Trying to understand the functional calculus of a unitary operator.

$L^1(G)$ is a Banach *-Algebra

Definition of Poles in spectral theory

An isolated point in the spectrum must be a point in the approximate point spectrum??

Exponential boundedness of a strongly continuous semigroup $(T_t)_{t>0}$.

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