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Is Operator a Compact Operator?

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#real-analysis #functional-analysis #operator-theory #compact-operators
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Dimension of kernel of compact operator

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#linear-transformations #operator-theory #hilbert-spaces #banach-spaces #compact-operators
79
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If $T:H \to H$ is compact and $\{h_n\}$ is bounded, is $\{T(h_n)\}$ a compact subset of $H$?

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#sequences-and-series #compactness #compact-operators
391
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Weak convergence for compact operators

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#functional-analysis #hilbert-spaces #weak-convergence #compact-operators
34
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$B_0(\mathcal{N},\mathcal{B})$ is Banach - The hypothesis of $\mathcal{B}$ being Banach cannot be removed

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#functional-analysis #banach-spaces #normed-spaces #compact-operators
692
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Relation between kernel and range

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#functional-analysis #operator-theory #banach-spaces #compact-operators #dual-spaces
686
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Different definitions of a relatively compact operator

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#functional-analysis #operator-theory #definition #spectral-theory #compact-operators
493
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Surjectivity of Compact Operators on an Infinite Dimensional Vector Space

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#functional-analysis #operator-theory #compact-operators
77
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If $T:H \to H$ is compact is $T: L^2_H \to L^2_H$ also compact?

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#functional-analysis #stochastic-processes #compact-operators
632
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Functional calculus on compact self adjoint operators

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#functional-analysis #reference-request #book-recommendation #spectral-theory #compact-operators
137
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Operator norm of translated operator

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#functional-analysis #operator-theory #normed-spaces #compact-operators
618
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Compactness of $Tf=f(\sin(x))$ for $f\in C([0,1])$

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#functional-analysis #compact-operators #arzela-ascoli
324
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Sequence of compact operators convergence - proof verification

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#functional-analysis #proof-verification #compact-operators
62
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Explanation for short proof, compactness of linear operator

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#functional-analysis #operator-theory #hilbert-spaces #compact-operators
39
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A problem on linear operator: what does the bounded operator mean?

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#operator-theory #compact-operators

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