List questions from banach-algebras

Published on 29 Apr 2026 - 12:53

281

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Show that $L^{\infty}(\Omega,\mu)$ is a maximal abelian subalgebra of $B(L^{2}(\Omega,\mu))$

Published on 03 May 2026 - 12:43

304

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Showing that the Holomorphic Functional Calculus preserves adjoints.

Published on 29 Apr 2026 - 12:53

96

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Characterizing Ideals in C(X)

Published on 03 May 2026 - 2:23

466

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if $T\in B(H)$ has closed range then show that $T ^*$ also have closed range.

Published on 03 May 2026 - 2:29

842

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Convolution operator

Published on 03 May 2026 - 0:14

78

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Norm induced on a projective module over a Banach algebra

Published on 29 Apr 2026 - 12:42

192

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The algebra of diagonal operators on a Hilbert space is a Banach algebra

Published on 03 May 2026 - 10:26

190

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Stone Weierstrass on Banach algebras

Published on 03 May 2026 - 7:01

186

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About spectrum of a operator on $\ell^2$

Published on 03 May 2026 - 4:04

105

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The Banach algebra of bounded operators on a separable Hilbert space has a countable dense subset

Published on 02 May 2026 - 23:49

43

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quotient norms in a Banach algebra

Published on 05 May 2026 - 10:11

557

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Trying to understand how the Gelfand spectrum relates to the usual notion of spectrum of an operator?

Published on 02 May 2026 - 18:19

2.1k

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Showing that an injective $^$-homomorphism between two $C^$-algebras is isometric.

Published on 03 May 2026 - 3:37

156

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Show that $I_A=\{f\in C[0,1]:\forall x\in A ,f(x)=0\}$ is closed ideal of $C[0,1]$

Published on 05 May 2026 - 14:45

List Question

Holomorphic functional calculus proving a property of fractional powers

Show that $L^{\infty}(\Omega,\mu)$ is a maximal abelian subalgebra of $B(L^{2}(\Omega,\mu))$

Showing that the Holomorphic Functional Calculus preserves adjoints.

Characterizing Ideals in C(X)

if $T\in B(H)$ has closed range then show that $T ^*$ also have closed range.

Convolution operator

Norm induced on a projective module over a Banach algebra

The algebra of diagonal operators on a Hilbert space is a Banach algebra

Stone Weierstrass on Banach algebras

About spectrum of a operator on $\ell^2$

The Banach algebra of bounded operators on a separable Hilbert space has a countable dense subset

quotient norms in a Banach algebra

Trying to understand how the Gelfand spectrum relates to the usual notion of spectrum of an operator?

Showing that an injective $^$-homomorphism between two $C^$-algebras is isometric.

Show that $I_A=\{f\in C[0,1]:\forall x\in A ,f(x)=0\}$ is closed ideal of $C[0,1]$

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