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$\| (I-T)^{-1}|_{\ker(I-T)^\perp} \| \geq 1$ for all compact operator $T$ in an infinite dimensional Hilbert space

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#functional-analysis #operator-theory #hilbert-spaces
131
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hyponormal operators

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#linear-algebra #functional-analysis #operator-theory #hilbert-spaces #operator-algebras
140
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a positive matrix of operators

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#functional-analysis #operator-theory #hilbert-spaces
63
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If $S=(S_1,S_2)$ hyponormal, why $S_1$ and $S_2$ are hyponormal?

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#functional-analysis #operator-theory #hilbert-spaces
4k
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Is the cartesian product of two Hilbert spaces a Hilbert space?

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#general-topology #functional-analysis #hilbert-spaces #banach-spaces
189
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Show that $ Tf $ is continuous and measurable on a Hilbert space $H=L_2((0,\infty))$

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#functional-analysis #measure-theory #continuity #hilbert-spaces #lebesgue-measure
123
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Kernel functions for vectors in discrete spaces

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#functional-analysis #hilbert-spaces #machine-learning
102
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The space $D(A^\infty)$

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#functional-analysis #operator-theory #hilbert-spaces #compactness #compact-operators
91
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Show that $Tf$ is well-defined and is continious

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#functional-analysis #hilbert-spaces
81
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construction of a sequence in a complex Hilbert space which fulfills some specific properties

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#functional-analysis #operator-theory #hilbert-spaces
215
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If $A\in\mathcal{L}(E)$, why $\lim\limits_{n\to+\infty}\|A^n\|^{1/n}$ always exists?

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#functional-analysis #operator-theory #hilbert-spaces #operator-algebras
302
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Sobolev space $H^s(Q)$ is Hilbert

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#real-analysis #fourier-analysis #hilbert-spaces #sobolev-spaces
89
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Unbounded self-adjoint "nth-root"operators

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#functional-analysis #operator-theory #hilbert-spaces #unbounded-operators
58
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Compactness of the resolvent - references

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#functional-analysis #reference-request #operator-theory #hilbert-spaces
50
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Equivalent property of a positiv definite operator

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#functional-analysis #eigenvalues-eigenvectors #hilbert-spaces

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