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Separable condition on space for a compact operator

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#functional-analysis #hilbert-spaces #compact-operators #separable-spaces
321
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Countable orthonormal basis of separable space

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#functional-analysis #hilbert-spaces #inner-products #separable-spaces #gram-schmidt
80
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What are the application of result "Every compact metric space is separable"?

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#real-analysis #general-topology #metric-spaces #compactness #separable-spaces
73
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A few questions concerning shearlets

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#functional-analysis #reference-request #harmonic-analysis #separable-spaces
793
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Separability of bounded operators on normed spaces

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#functional-analysis #operator-theory #banach-spaces #normed-spaces #separable-spaces
124
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Differentiating term by term in a Banach space: how to justify it?

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#functional-analysis #banach-spaces #separable-spaces #frechet-derivative
125
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Questions about giving an example in subspace topology exercise

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#general-topology #separation-axioms #separable-spaces
107
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What is the geometric interpretation of a separable space?

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#real-analysis #functional-analysis #separable-spaces #geometric-interpretation
238
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Separability of $C^2_b(\Omega)$

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#functional-analysis #uniform-convergence #approximation-theory #separable-spaces #weierstrass-approximation
109
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How do I prove this topological space is T2 and compact?

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#general-topology #compactness #separable-spaces
214
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Closure of smooth compactly supported functions separable

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#real-analysis #functional-analysis #separable-spaces
126
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Examples of Dense\Not Dense sets

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#functional-analysis #analysis #metric-spaces #solution-verification #separable-spaces
62
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Show that $Y $ is separable.

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#functional-analysis #separable-spaces
49
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$S=\operatorname{cl}_S(A), T = \operatorname{cl}_T(B) \implies \operatorname{cl}_{S\cup T}(A \cup B) = S \cup T$

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#general-topology #solution-verification #separable-spaces
42
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Is the set $A=\{x\in l_p :x_n \in \mathbb Q\}$ countable?

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#general-topology #metric-spaces #lp-spaces #separable-spaces #second-countable

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