List questions from hilbert-spaces

Published on 02 Apr 2026 - 6:42

404

Views

$L$-Lipschitz gradient of $f$ implies inverse strongly monotone of $\nabla f$

Published on 15 Jun 2014 - 7:33

142

Views

Show that $\|e^{tA}\| \le e^{t\|\Re (A)\|}$

Published on 15 Jun 2014 - 21:33

141

Views

Is this subspace dense in $L^{2}(\Omega,\mu)$

Published on 16 Jun 2014 - 0:18

1k

Views

Skew adjoint operator with uncountable spectrum

Published on 27 Mar 2026 - 20:29

63

Views

Bound on number of mutually orthonormal eigenfunctions

Published on 25 Mar 2026 - 22:23

32

Views

Question about convergence of sum

Published on 16 Jun 2014 - 21:53

778

Views

Any finite-dimensional subspace of a Hilbert space is closed: easier proof?

Published on 17 Jun 2014 - 0:44

119

Views

Spectrum of the operator $A(f,g)=(g,\Delta f-f)$

Published on 27 Mar 2026 - 20:25

182

Views

Fractional Brownian motion---construction via Hilbert space?

Published on 19 Jun 2014 - 8:31

2k

Views

Optimization problem using Reproducing Kernel Hilbert Spaces

Published on 28 Mar 2026 - 13:50

2k

Views

Equivalent Definitions of Negative Order Sobolev Spaces

Published on 31 Mar 2026 - 19:17

607

Views

Continuity of bounded and convex function on Hilbert space

Published on 21 Jun 2014 - 11:50

1.9k

Views

Weak convergence in $C[0,1]$

Published on 30 Mar 2026 - 5:00

16.4k

Views

Orthonormal Basis of $L^{2}(0,1)$?

Published on 26 Mar 2026 - 11:00

List Question

Subspace of certain series in a Hilbert space is compact

$L$-Lipschitz gradient of $f$ implies inverse strongly monotone of $\nabla f$

Show that $\|e^{tA}\| \le e^{t\|\Re (A)\|}$

Is this subspace dense in $L^{2}(\Omega,\mu)$

Skew adjoint operator with uncountable spectrum

Bound on number of mutually orthonormal eigenfunctions

Question about convergence of sum

Any finite-dimensional subspace of a Hilbert space is closed: easier proof?

Spectrum of the operator $A(f,g)=(g,\Delta f-f)$

Fractional Brownian motion---construction via Hilbert space?

Optimization problem using Reproducing Kernel Hilbert Spaces

Equivalent Definitions of Negative Order Sobolev Spaces

Continuity of bounded and convex function on Hilbert space

Weak convergence in $C[0,1]$

Orthonormal Basis of $L^{2}(0,1)$?

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