List questions from operator-theory

Published on 18 Nov 2018 - 14:08

115

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functional calculus under the $*$ homomorphism

Published on 26 Mar 2026 - 8:31

129

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nuclear $C^*$ algebra

Published on 26 Mar 2026 - 8:31

120

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calculating norm with cut off function

Published on 31 Mar 2026 - 11:49

198

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partial isometry

Published on 27 Mar 2026 - 0:01

4.9k

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The operator norm of the composition of linear bounded operators between Banach spaces.

Published on 19 Nov 2018 - 19:22

752

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Showing a measure finitely additive but not countably additive

Published on 27 Mar 2026 - 7:20

154

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Calculate the operator norm of the difference of two operators

Published on 31 Mar 2026 - 11:53

73

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Is the following operator a compact operator?

Published on 27 Mar 2026 - 13:46

527

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Let $H$ be a Hilbert space with projections $P,Q$, then $\lim_{n\to\infty}(PQ)^nx= Rx$ for all $x\in H$, where $R$ is the projection to $PH\cap QH$

Published on 28 Mar 2026 - 6:41

363

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$X^$ with $weak^$-topology is first category in itself when $X$ is infinite dimensional Fréchet space

Published on 25 Mar 2026 - 9:38

35

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Irreducibility of differential operator?

Published on 27 Mar 2026 - 10:22

81

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$L^2$ norm of a PDE

Published on 31 Mar 2026 - 14:13

141

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Equivalent operator norm

Published on 31 Mar 2026 - 14:09

69

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Showing that the equation $x_i - \sum_{j=1}^\infty a_{ij}x_j = b_i$ has a unique solution.

Published on 27 Mar 2026 - 19:53

List Question

Proving that $d(x,\ker f) = \frac{|f(x)|}{\|f\|}$ if $f \in X^*$

functional calculus under the $*$ homomorphism

nuclear $C^*$ algebra

calculating norm with cut off function

partial isometry

The operator norm of the composition of linear bounded operators between Banach spaces.

Showing a measure finitely additive but not countably additive

Calculate the operator norm of the difference of two operators

Is the following operator a compact operator?

Let $H$ be a Hilbert space with projections $P,Q$, then $\lim_{n\to\infty}(PQ)^nx= Rx$ for all $x\in H$, where $R$ is the projection to $PH\cap QH$

$X^$ with $weak^$-topology is first category in itself when $X$ is infinite dimensional Fréchet space

Irreducibility of differential operator?

$L^2$ norm of a PDE

Equivalent operator norm

Showing that the equation $x_i - \sum_{j=1}^\infty a_{ij}x_j = b_i$ has a unique solution.

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