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Closed spaces in lp and distances

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#metric-spaces #banach-spaces
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Show that $\ell^1$ is not complete with a certain metric

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#functional-analysis #banach-spaces #normed-spaces
187
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Differentiation of pointwise composition operator

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#calculus #derivatives #notation #banach-spaces
195
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Composition of smooth functions is smooth

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#derivatives #banach-spaces #book-recommendation #online-resources
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Showing $(M^\perp)^\perp=\overline{M}$

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#functional-analysis #hilbert-spaces #banach-spaces
115
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Absolute continuity in Banach spaces

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#measure-theory #derivatives #continuity #banach-spaces
123
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Spatial tensor product of operator spaces

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#functional-analysis #banach-spaces #tensor-products #operator-algebras
424
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Is my proof that $\ell^p$ is Banach correct?

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#functional-analysis #proof-verification #banach-spaces
1k
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If a map between separable Banach spaces has closed graph, does it have a point of continuity?

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#functional-analysis #continuity #banach-spaces
70
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Specific question on Banach space over nonarchimedean field

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#functional-analysis #reference-request #banach-spaces #banach-algebras
154
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Compact Approximation

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#functional-analysis #operator-theory #banach-spaces
807
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Every finite-dimensional subspace is one-complemented

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#functional-analysis #banach-spaces
144
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Is $C[0,1]$ complemented in $B[0,1]$?

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#functional-analysis #banach-spaces
3.1k
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Compact Operators: Weak Convergence

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#functional-analysis #operator-theory #banach-spaces
63
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Are ideals generated by separable subspaces separable?

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#general-topology #functional-analysis #banach-spaces #operator-algebras

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