List questions from operator-theory

Published on 17 Apr 2026 - 1:19

1.3k

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Closed graph theorem; exercise

Published on 05 Apr 2026 - 17:32

121

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About the Banach algebra $\ell^{\infty} (K( \ell^{1}))$

Published on 12 Apr 2026 - 14:12

134

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For $p(x)\in \Bbb{C}[x]$ such that $\int_{0}^{1}p(x)x^kdx=0$ for $0\le k\le n-1$, show that $p(\lambda)=0\Rightarrow \lambda\in [0,1]$

Published on 16 Apr 2026 - 5:48

119

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R.Douglas "Banach Algebra Technique Operator Theory" - Chapter 2 issue

Published on 11 Apr 2026 - 15:26

187

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continuous and sequentially continuous

Published on 31 Mar 2026 - 19:10

86

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Operator theory to study a difference equation

Published on 08 Apr 2026 - 19:19

3.3k

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Intuition for Fredholm operators?

Published on 10 Apr 2026 - 1:20

399

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Characterization of compact operators by their spectra

Published on 11 Apr 2026 - 19:35

937

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Why is an operator composed with its adjoint positive and stricly positive when it's invertible?

Published on 09 Apr 2026 - 19:12

311

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Commutative Banach algebra and its maximal ideal space

Published on 15 Apr 2026 - 23:40

731

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The completeness relation from QM in terms of inner products

Published on 09 Apr 2026 - 22:00

191

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Commutative Banach algebra and its Gelfand spectrum

Published on 15 Apr 2026 - 22:44

116

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Algebra $A$ and its Gelfand spectrum

Published on 14 Apr 2026 - 20:02

70

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noncommutative algebra

Published on 13 Apr 2026 - 13:56

List Question

Prove or disprove: $\{t^{2k}\}_{k=0}^{\infty}$ complete in $L_2[-1,3]$

Closed graph theorem; exercise

About the Banach algebra $\ell^{\infty} (K( \ell^{1}))$

For $p(x)\in \Bbb{C}[x]$ such that $\int_{0}^{1}p(x)x^kdx=0$ for $0\le k\le n-1$, show that $p(\lambda)=0\Rightarrow \lambda\in [0,1]$

R.Douglas "Banach Algebra Technique Operator Theory" - Chapter 2 issue

continuous and sequentially continuous

Operator theory to study a difference equation

Intuition for Fredholm operators?

Characterization of compact operators by their spectra

Why is an operator composed with its adjoint positive and stricly positive when it's invertible?

Commutative Banach algebra and its maximal ideal space

The completeness relation from QM in terms of inner products

Commutative Banach algebra and its Gelfand spectrum

Algebra $A$ and its Gelfand spectrum

noncommutative algebra

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