List questions from banach-algebras

Published on 15 Feb 2022 - 22:25

37

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Reference request for the space $C^k[a,b]$

Published on 22 Feb 2022 - 10:15

323

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spectrum of an element of unital banach algebra is closed set

Published on 22 Feb 2022 - 16:17

136

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The spectrum of the algebra of Fourier multipliers

Published on 03 Mar 2022 - 9:21

85

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If $T$ commute with all the $\pi(a)$ then $T$ is a scalar multiple of the identity

Published on 31 Mar 2026 - 22:47

81

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Claim: $\Vert (\lambda_n 1-T)^{-1}\Vert \rightarrow \infty$

Published on 06 Mar 2022 - 21:02

48

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Regarding invertibility of a certain element in a Banach algebra

Published on 08 Mar 2022 - 12:46

93

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$C^\ast$ -algebra : Can we assume image of identity is identity?

Published on 22 Mar 2022 - 19:02

44

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Complement of spectrum of a invertible self-adjoint element has no bounded components

Published on 24 Mar 2022 - 7:33

128

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Weak convergence in $L^{∞}[0,1]$ implies strong convergence in $L^{p}[0,1]$

Published on 24 Mar 2022 - 8:28

85

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Find an expression for $(\lambda\textbf{1}-a)^{-1}$.

Published on 24 Mar 2022 - 19:46

95

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Show that $(Tf)(x) = \int_0^x f(t)dt$ is bounded

Published on 24 Mar 2022 - 21:15

47

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If $\lVert F(z)^{-1}\rVert < M$. Then $z \to F(z)^{-1}$ is holomorphic

Published on 07 Apr 2022 - 23:26

41

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Does a contradiction occurs about a homomorphism on $C(\Omega)$?

Published on 23 Feb 2026 - 10:02

34

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Analytic Functional Calculus on C*-algebras

Published on 22 Apr 2022 - 9:30

List Question

Spectrum of a linear function in the continous functions

Reference request for the space $C^k[a,b]$

spectrum of an element of unital banach algebra is closed set

The spectrum of the algebra of Fourier multipliers

If $T$ commute with all the $\pi(a)$ then $T$ is a scalar multiple of the identity

Claim: $\Vert (\lambda_n 1-T)^{-1}\Vert \rightarrow \infty$

Regarding invertibility of a certain element in a Banach algebra

$C^\ast$ -algebra : Can we assume image of identity is identity?

Complement of spectrum of a invertible self-adjoint element has no bounded components

Weak convergence in $L^{∞}[0,1]$ implies strong convergence in $L^{p}[0,1]$

Find an expression for $(\lambda\textbf{1}-a)^{-1}$.

Show that $(Tf)(x) = \int_0^x f(t)dt$ is bounded

If $\lVert F(z)^{-1}\rVert < M$. Then $z \to F(z)^{-1}$ is holomorphic

Does a contradiction occurs about a homomorphism on $C(\Omega)$?

Analytic Functional Calculus on C*-algebras

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