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Convergence rate of $\operatorname E|\langle X,f_n\rangle|^p$

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#probability-theory #hilbert-spaces #orthonormal #rate-of-convergence
189
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If $\|Ax\|=\|A^* x\|$ for all $ x\in E$, why $A$ is normal?

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#functional-analysis #hilbert-spaces
78
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Adjoint of the attached space in operator algebras

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#functional-analysis #operator-theory #hilbert-spaces #operator-algebras
56
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Calculating $T^*T$ when $T$ have direct sum codomain

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#functional-analysis #operator-theory #hilbert-spaces #adjoint-operators
221
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Is there a function which belongs to $H(\mathrm{curl},\Omega)$ but does not belong to $(H^1(\Omega))^3$?

Published on
#hilbert-spaces #sobolev-spaces
28
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Commuting hermitic matrix diagonalisable in the same base : a proof

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#linear-algebra #hilbert-spaces
60
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$T\in B(H)$. Why is $\forall x\in H$ $Tx=x \iff T^*x=x$?

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#functional-analysis #hilbert-spaces
136
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Proof related to commuting self adjoint operators

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#functional-analysis #operator-theory #hilbert-spaces
189
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Determine the adjoint operator of an inclusion

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#functional-analysis #operator-theory #hilbert-spaces
185
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The Image of the Closed Unit Ball Under Finite Rank Operators

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#hilbert-spaces #compact-operators
60
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Calculate the following seminorm of $A$

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#linear-algebra #hilbert-spaces
1.2k
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Complex hilbert space and its complex conjugate vector space.

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#functional-analysis #hilbert-spaces
184
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Show that the composition of the inverse of an injective bounded linear operator and a bounded linear operator is bounded

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#functional-analysis #operator-theory #hilbert-spaces
71
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Change of inner products and expressions for norm of vector maximizing linear forms

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#linear-algebra #functional-analysis #hilbert-spaces #normed-spaces
110
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Projection on compact submanifolds

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#convex-analysis #hilbert-spaces #compact-manifolds

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