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What sequence of functions (example) proves that $C ^1( [0,1])$ is not a Hilbert space?

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#hilbert-spaces
244
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About Angles between subspaces of a Hilbert space

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#functional-analysis #hilbert-spaces
1.7k
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weak convergence in Hilbert space

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#hilbert-spaces
204
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weak operator closure of $K$ equals to the strong operator closure

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#functional-analysis #operator-theory #hilbert-spaces
75
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Is it true that exists $v_0 \in H$ such that $\lVert T \rVert =\frac{\lvert T(v_0)\rvert }{\lVert v_0 \rVert}$?

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#functional-analysis #hilbert-spaces
26
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Projection onto a convex subset, need help proving some identities

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#functional-analysis #convex-analysis #hilbert-spaces
896
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Separability of linear span of separable set.

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#general-topology #hilbert-spaces
45
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Concrete identification of a functional

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#functional-analysis #hilbert-spaces #sobolev-spaces #distribution-theory
81
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Adjoint of linear operator

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#functional-analysis #convergence-divergence #hilbert-spaces #linear-transformations #orthonormal
297
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Riesz representation theorem in a Sobolev space on an interval

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#functional-analysis #functions #hilbert-spaces #sobolev-spaces
421
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Subset of separable Hilbert space

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#hilbert-spaces #separable-spaces
32
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What kind of ordinary convergence will we get in the Hilbert-space?

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#real-analysis #functional-analysis #measure-theory #hilbert-spaces
437
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range of compact, self-adjoint operator

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#hilbert-spaces #spectral-theory
87
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Sequence of subsets of Hilbert space

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#functional-analysis #metric-spaces #hilbert-spaces
387
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Unbounded operator $K\to H$ that is Hilbert--Schmidt from $Q^{1/2}K\to H$

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#functional-analysis #operator-theory #hilbert-spaces #examples-counterexamples #stochastic-calculus

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