List questions from hilbert-spaces

Published on 22 Mar 2026 - 10:47

189

Views

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

Published on 25 Mar 2026 - 9:28

201

Views

Trigonometric functions separates the points

Published on 09 Mar 2018 - 16:40

25

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Is any bounded, linear and nonnegative operator $Q$ on a Hilbert space $U$ an isometry on the Hilbert space $Q^{1/2}U$?

Published on 09 Mar 2018 - 18:43

64

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Finding a weak open neighbourhood of a Hilbert space with a certain property

Published on 25 Mar 2026 - 9:36

319

Views

About Lidskii's theorem

Published on 10 Mar 2018 - 0:10

181

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

Published on 25 Mar 2026 - 9:26

76

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Finding an element $x$ of a Hilbert space with $\|Tx\|=\|T\|$

Published on 10 Mar 2018 - 12:53

100

Views

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

Published on 25 Mar 2026 - 9:26

363

Views

if $Y$ is eigenspace to an eigenvalue $\lambda$ of an operator $T,$ and if $T_1$ is restriction of $T$ to $Y$. find spectrum of $\sigma(T_1)$

Published on 25 Mar 2026 - 11:21

114

Views

dense subspace of $\ell_2$ from basics and seperability

Published on 10 Mar 2018 - 17:01

210

Views

Don't unitary operators have the same domain and codomain?

Published on 10 Mar 2018 - 17:03

797

Views

variational characterization of convex projection

Published on 10 Mar 2018 - 19:24

35

Views

Scalar product implying norm inequality

Published on 10 Mar 2018 - 20:27

254

Views

Does the composition of orthogonal projections have norm $1$?

Published on 24 Mar 2026 - 20:38

List Question

Hilbert space theory and their applications

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

Trigonometric functions separates the points

Is any bounded, linear and nonnegative operator $Q$ on a Hilbert space $U$ an isometry on the Hilbert space $Q^{1/2}U$?

Finding a weak open neighbourhood of a Hilbert space with a certain property

About Lidskii's theorem

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

Finding an element $x$ of a Hilbert space with $\|Tx\|=\|T\|$

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

if $Y$ is eigenspace to an eigenvalue $\lambda$ of an operator $T,$ and if $T_1$ is restriction of $T$ to $Y$. find spectrum of $\sigma(T_1)$

dense subspace of $\ell_2$ from basics and seperability

Don't unitary operators have the same domain and codomain?

variational characterization of convex projection

Scalar product implying norm inequality

Does the composition of orthogonal projections have norm $1$?

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