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Orthogonal complement of subspaces of Hilbert space

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#functional-analysis #hilbert-spaces
50
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Norm of $(T^*T)^\frac{1}{2}$

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#operator-theory #hilbert-spaces
84
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Construct Conditional Expectation in L2 using Conditional Expectation in L1

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#functional-analysis #probability-theory #measure-theory #hilbert-spaces #conditional-expectation
80
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Is a dissipative closed operator maximal dissipative?

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#functional-analysis #operator-theory #hilbert-spaces #semigroup-of-operators
43
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RKHS norm of a constant function?

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#functional-analysis #vector-spaces #hilbert-spaces #reproducing-kernel-hilbert-spaces
127
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Finite-dimensional faithful representation of a matrix algebra is completely reducible

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#abstract-algebra #representation-theory #hilbert-spaces
85
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Do all functions in $L^2$ have a power series representations that converges everywhere?

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#real-analysis #functional-analysis #taylor-expansion #hilbert-spaces
59
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How does the reflexivity of $V$ imply the denseness of $R(i^*)$?

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#functional-analysis #hilbert-spaces #reflexive-space #dense-subspaces
85
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Hilbert-Schmidt norm on direct sums of Hilbert spaces

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#functional-analysis #hilbert-spaces #compactness
50
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Compact resolvent implies $\mu_{\infty}(A) = \infty$

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#functional-analysis #analysis #hilbert-spaces #spectral-theory
37
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Condition for a sum of more than two projection operators in a Hilbert space to be a projection operator

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#functional-analysis #hilbert-spaces
201
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Question about the proof of the min-max principle

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#functional-analysis #analysis #operator-theory #hilbert-spaces
55
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Property of orthonormal set in hilbert space

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#functional-analysis #analysis #hilbert-spaces
26
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Showing that $(XY_n)$ is a Cauchy sequence when $(Y_n)$ is cauchy in space of polynomias.

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#polynomials #hilbert-spaces #inner-products #cauchy-sequences
66
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Cardinality of an orthonormal basis of $l^2(A)$

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#real-analysis #measure-theory #proof-writing #hilbert-spaces

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