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15
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Representer theorem of L2 regularized logistic regression

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#optimization #hilbert-spaces #logistic-regression #reproducing-kernel-hilbert-spaces
84
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Proving that a weighted Sobolev space is a Hilbert space

Published on
#functional-analysis #partial-differential-equations #hilbert-spaces #sobolev-spaces #fractional-sobolev-spaces
107
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orthocomplement of a finite-dimensional Hilbert space

Published on
#functional-analysis #analysis #hilbert-spaces
30
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Semidefinite programming over infinite dimensional space

Published on
#hilbert-spaces #convex-optimization #semidefinite-programming
27
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What are the current open problems in dilation theory?

Published on
#operator-theory #hilbert-spaces
60
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Radon-Nikodym property of $B(\mathcal{H})$

Published on
#functional-analysis #measure-theory #hilbert-spaces #radon-nikodym
70
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Gelfand-Naimark-Segal representations and pure states

Published on
#functional-analysis #representation-theory #hilbert-spaces
34
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Commuting Bounded linear projections

Published on
#operator-theory #hilbert-spaces #banach-spaces #spectral-theory #projection
68
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Prove that the given space $H^1$ is not complete.

Published on
#functional-analysis #analysis #hilbert-spaces #sobolev-spaces
111
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Finding an explicit formula for the projection on a subspace of an Hilbert space

Published on
#hilbert-spaces #lp-spaces #orthogonality #projection
50
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Smooth function with compact support is not a pre-Hilbert space

Published on
#functional-analysis #hilbert-spaces
37
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Are range and kernel of a partial isometry disjoint if the isometry generates a central projection?

Published on
#hilbert-spaces #operator-algebras #projection #von-neumann-algebras
58
Views

Does weak $L^2$ approximation implies $L^2$ approximation under a condition similar to convexity?

Published on
#functional-analysis #measure-theory #hilbert-spaces #weak-convergence #weak-topology
109
Views

is $L^2[0,1]$ orthogonal to $L^2[1,2]$?

Published on
#functional-analysis #hilbert-spaces
112
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Hilbert Space, $f_{n}$ converges weakly to $f$, then $f$ is in the closure of $\text{span}(f_n)$

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#functional-analysis #hilbert-spaces #weak-convergence

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