List questions from banach-algebras

Published on 23 Feb 2026 - 2:56

59

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Existence of a non-zero continuous function vanishing at infinity.

Published on 05 Feb 2024 - 15:59

88

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$\mathcal{C}^2[0,1]$ is a Banach Algebra

Published on 12 Feb 2024 - 12:59

42

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Character space of abelian Banach algebra is weak* closed in the unit ball of dual space.

Published on 15 Feb 2024 - 18:21

68

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For a self-adjoint element $a$ in a unital Banach $*$-algebra, is it true that $\|a\| \mathbb{1} -a \geq 0$?

Published on 21 Feb 2024 - 20:54

111

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Define multiplication on $L^1(\mathbb{R})$

Published on 22 Feb 2024 - 6:48

34

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Uniqueness of non-zero homomorphism in abelian Banach algebra

Published on 24 Feb 2024 - 11:33

38

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Continuity of adjoint of algebra homomorphism

Published on 23 Feb 2026 - 2:40

28

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example of a $B$-bimodule $X$ that is not an $A$-bimodule.

Published on 01 Mar 2024 - 20:59

23

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About the algebra $H^\infty + C(\mathbb{T})$

Published on 25 Mar 2026 - 16:13

46

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Is any ideal of a Banach algebra closed?

Published on 10 Mar 2024 - 21:17

33

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Eigenvalue Problem for the Laplace-Beltrami Operator in Real Hilbert Spaces

Published on 16 Mar 2024 - 13:18

56

Views

Is the spectrum of an element in an algebra, $\sigma(x) = \{z \in\mathbb{C}: \vert z\vert\leq\Vert x \Vert\}$?

Published on 25 Mar 2026 - 22:05

53

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Prove in a C* algebra that a*a is positive

Published on 28 Mar 2024 - 23:03

69

Views

States: Extension

Published on 04 Jan 2015 - 3:54

List Question

Property of the Gelfand transform

Existence of a non-zero continuous function vanishing at infinity.

$\mathcal{C}^2[0,1]$ is a Banach Algebra

Character space of abelian Banach algebra is weak* closed in the unit ball of dual space.

For a self-adjoint element $a$ in a unital Banach $*$-algebra, is it true that $\|a\| \mathbb{1} -a \geq 0$?

Define multiplication on $L^1(\mathbb{R})$

Uniqueness of non-zero homomorphism in abelian Banach algebra

Continuity of adjoint of algebra homomorphism

example of a $B$-bimodule $X$ that is not an $A$-bimodule.

About the algebra $H^\infty + C(\mathbb{T})$

Is any ideal of a Banach algebra closed?

Eigenvalue Problem for the Laplace-Beltrami Operator in Real Hilbert Spaces

Is the spectrum of an element in an algebra, $\sigma(x) = \{z \in\mathbb{C}: \vert z\vert\leq\Vert x \Vert\}$?

Prove in a C* algebra that a*a is positive

States: Extension

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