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Basis and cardinality

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#linear-algebra #hilbert-spaces #topological-vector-spaces #schauder-basis #hamel-basis
23
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$E$ is a real Hilbert space of infinite-dimensional.

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#hilbert-spaces
122
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"Trivial" differential equations solving, in Hilbert spaces

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#functional-analysis #ordinary-differential-equations #hilbert-spaces
1k
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Is Minkowski space a Hilbert space?

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#geometry #hilbert-spaces #physics #mathematical-physics #geometric-topology
82
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Projection onto a set

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#hilbert-spaces #projection
49
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When an orthonormal set is a basis (proof verification)

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#real-analysis #proof-verification #hilbert-spaces
40
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Adjoint of Matrices Defined by Inner Products

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#linear-algebra #functional-analysis #operator-theory #hilbert-spaces
135
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A question about the dual space of the subspace of Hilbert Space

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#functional-analysis #hilbert-spaces #dual-spaces
56
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The space of all bounded linear functionals is a total set

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#linear-algebra #functional-analysis #hilbert-spaces
83
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Find the spectral projection of a positive operator explicitly

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#functional-analysis #hilbert-spaces #operator-algebras #c-star-algebras #von-neumann-algebras
70
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On the orthogonal bases in $L^2[0,1]$

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#real-analysis #fourier-analysis #hilbert-spaces #fourier-series #orthogonal-polynomials
70
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Is minimizer in reproducing kernel hilbert space the same as in L2 space?

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#hilbert-spaces #lp-spaces
145
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Why is $\{\sin(n\pi x)\}_{n \in \mathbb N}$ dense in $L^{2}([0,1])$

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#real-analysis #sequences-and-series #functional-analysis #hilbert-spaces
65
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Projection of a vector on orthogonal subspaces

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#linear-algebra #abstract-algebra #hilbert-spaces #projection
88
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Riesz Basis Of Hilbert Space

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#functional-analysis #hilbert-spaces

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