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New posts in banach-spaces
The space $c_0$ of sequences that converge to 0 is not reflexive
functional-analysis
convergence-divergence
banach-spaces
$\ell_1$ and unconditional convergence
convergence-divergence
banach-spaces
How to deduce open mapping theorem from closed graph theorem?
functional-analysis
banach-spaces
alternative-proof
Proving that $\int_0^1 f(x)e^{nx}\,{\rm d}x = 0$ for all $n\in\mathbb{N}_0$ implies $f(x) = 0$
functional-analysis
banach-spaces
The group of invertible linear operators on a Banach space
functional-analysis
banach-spaces
topological-groups
Showing a set is nowhere dense in $C([0,1])$
real-analysis
analysis
banach-spaces
baire-category
holder-spaces
Why isn't this a counterexample of Banach-Steinhaus theorem?
functional-analysis
banach-spaces
examples-counterexamples
hamel-basis
Isomorphisms between Normed Spaces
category-theory
banach-spaces
normed-spaces
Weak limit of an $L^1$ sequence
real-analysis
functional-analysis
measure-theory
banach-spaces
Equivalent definitions of unconditional convergence
sequences-and-series
functional-analysis
convergence-divergence
banach-spaces
A Banach space that is not a Hilbert space
functional-analysis
hilbert-spaces
banach-spaces
normed-spaces
inner-products
Norm equivalence in a Banach space [closed]
functional-analysis
normed-spaces
banach-spaces
open-map
The space $C^0([0;1],\mathbb{R})$ of all continuous, real-valued functions on $[0,1]$ is not reflexive.
functional-analysis
banach-spaces
What is the predual of $L^1$
functional-analysis
banach-spaces
lp-spaces
Subsequences of Basis
functional-analysis
normed-spaces
banach-spaces
schauder-basis
Why is the space of surjective operators open?
functional-analysis
banach-spaces
Every multiplicative linear functional on $\ell^{\infty}$ is the limit along an ultrafilter.
real-analysis
analysis
functional-analysis
banach-spaces
filters
$c$ and $c_0$ are not isometrically isomorphic
functional-analysis
banach-spaces
Liouville's theorem for Banach spaces without the Hahn-Banach theorem?
complex-analysis
functional-analysis
banach-spaces
banach-algebras
Spectrum for a bounded linear operator and its adjoint on a Banach space are same.
functional-analysis
operator-theory
banach-spaces
spectral-theory
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