List questions from hilbert-spaces

Published on 13 Apr 2014 - 19:46

73

Views

I want to show one norm is less than or equal to another norm on C([0,1])

Published on 13 Apr 2014 - 23:27

25

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Is $\phi(h)=\displaystyle \sup_{x\in X}{\|h-x\|}$ continuous on Hilbert space when $X$ is bounded?

Published on 14 Apr 2014 - 16:12

477

Views

Isometric <=> Left Inverse Adjoint

Published on 26 Mar 2026 - 18:30

605

Views

Isometry <=> Adjoint left inverse

Published on 26 Mar 2026 - 18:30

184

Views

Need help proving the equivalence of two norms?

Published on 17 Apr 2014 - 4:41

120

Views

Limit of exp of self-adjoint operator

Published on 30 Mar 2026 - 1:33

80

Views

Hilbert space inequality $|\langle x,y\rangle | \leq \epsilon ||x||^2 + C_{\epsilon}||y||^2$

Published on 17 Apr 2014 - 20:45

598

Views

Projection and Pseudocontraction on Hilbert space

Published on 28 Mar 2026 - 3:53

5.2k

Views

Invertible iff Bounded below and dense range

Published on 18 Apr 2014 - 19:57

149

Views

Nonexpansive Affine Operators in Hilbert spaces

Published on 19 Apr 2014 - 9:48

485

Views

Show compactness of an operator with Arzelà–Ascoli

Published on 26 Mar 2026 - 7:34

298

Views

Applying perp twice in a hilbert space

Published on 20 Apr 2014 - 19:02

1.3k

Views

Bounded linear functionals on $L^\infty$.

Published on 20 Apr 2014 - 23:03

870

Views

Determining if the span of a set is dense in $L^2(0,1)$

Published on 21 Apr 2014 - 23:29

List Question

Alternating projections on a Hilbert space

I want to show one norm is less than or equal to another norm on C([0,1])

Is $\phi(h)=\displaystyle \sup_{x\in X}{\|h-x\|}$ continuous on Hilbert space when $X$ is bounded?

Isometric <=> Left Inverse Adjoint

Isometry <=> Adjoint left inverse

Need help proving the equivalence of two norms?

Limit of exp of self-adjoint operator

Hilbert space inequality $|\langle x,y\rangle | \leq \epsilon ||x||^2 + C_{\epsilon}||y||^2$

Projection and Pseudocontraction on Hilbert space

Invertible iff Bounded below and dense range

Nonexpansive Affine Operators in Hilbert spaces

Show compactness of an operator with Arzelà–Ascoli

Applying perp twice in a hilbert space

Bounded linear functionals on $L^\infty$.

Determining if the span of a set is dense in $L^2(0,1)$

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