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15
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Norm on $H^1/2(\partial\Omega)$ by first isomorphism theorem.

Published on
#functional-analysis #hilbert-spaces #sobolev-spaces #quotient-spaces #fractional-sobolev-spaces
27
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Norm of an operator that is selfadjoint and positive

Published on
#functional-analysis #operator-theory #hilbert-spaces
258
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Bounded operators in Hilbert and Banach spaces

Published on
#functional-analysis #hilbert-spaces #banach-spaces
638
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Linear Operators on Hilbert Spaces

Published on
#real-analysis #functional-analysis #hilbert-spaces
58
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On norm bounded sets of $B(H)$, the weak (operator) and ultraweak topologies coincide.

Published on
#functional-analysis #operator-theory #hilbert-spaces #operator-algebras #von-neumann-algebras
54
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Orthonormal Basis in $L^2[0,5/8]$

Published on
#real-analysis #functional-analysis #hilbert-spaces #wavelets
27
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Spectral theory for sum of unbounded, commutative operators

Published on
#hilbert-spaces #spectral-theory #unbounded-operators
47
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Powers of operators and spectral gap

Published on
#functional-analysis #operator-theory #hilbert-spaces #spectral-theory #self-adjoint-operators
72
Views

Closure of positive operator is positive

Published on
#real-analysis #functional-analysis #limits #operator-theory #hilbert-spaces
38
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Norm and evaluation hilbert space

Published on
#functional-analysis #normed-spaces #hilbert-spaces
69
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Prove that which is an orthonomal basis of $L^2(R)$

Published on
#real-analysis #functional-analysis #complex-analysis #hilbert-spaces #orthonormal
35
Views

How to check the denseness of the operator?

Published on
#operator-theory #hilbert-spaces
39
Views

Bidual of any NLS $X$ is $X$,i.e. $X^{**}=X$

Published on
#normed-spaces #hilbert-spaces #dual-spaces
41
Views

Time series in Hilbert spaces and expectation of a projection

Published on
#probability-theory #hilbert-spaces #conditional-expectation #projection #time-series
99
Views

Orthogonality on $L^2$

Published on
#hilbert-spaces #inner-products #orthogonality

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