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Alexandrov's Theorem on Completion of a normed vector space

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#functional-analysis #banach-spaces #topological-vector-spaces
232
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Application of Banach-Alaoglu theorem to extract convergent subsequence of currents

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#functional-analysis #banach-spaces #weak-convergence #geometric-measure-theory
39
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Smoothness of ODE operator

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#ordinary-differential-equations #analysis #banach-spaces
136
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In a Banach space, the closed convex hull of weakly compact set is weakly compact

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#functional-analysis #banach-spaces #compactness #convex-hulls #weak-topology
74
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Source and/or detailed proof for $\exp(\lambda (A + B)) = \exp(\lambda A)\exp(\lambda B)$ for commuting elements in a Banach algebra

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#functional-analysis #reference-request #exponential-function #banach-spaces #banach-algebras
62
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Absolute convergent series in $L^\infty$

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#real-analysis #banach-spaces
76
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Open Maps in $\mathcal{B}(X, Y)$ form an open set

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#functional-analysis #banach-spaces #compact-operators
65
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Conditions for measurability on subspace of a Banach space

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#functional-analysis #probability-theory #measure-theory #banach-spaces
65
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A uniformly convex normed vector space which is not reflexive

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#functional-analysis #normed-spaces #banach-spaces #examples-counterexamples
192
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Isomorphism Between the Sequence Spaces $c$ and $c_o$

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#functional-analysis #proof-explanation #normed-spaces #banach-spaces #vector-space-isomorphism
64
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Derivative of a continuous bilinear form

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#functional-analysis #derivatives #hilbert-spaces #banach-spaces #frechet-derivative
16
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What is the norm in the definition of the projective norm?

Published on
#banach-spaces
65
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Brezis' exercise 5.15

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#functional-analysis #operator-theory #hilbert-spaces #banach-spaces
76
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Vector-valued weak analytic functions are strong analytic

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#functional-analysis #complex-analysis #banach-spaces
103
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About Norm of an element $x$ and Norm of an element in its Dual

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#functional-analysis #normed-spaces #banach-spaces

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