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Banach-spaces
New post in Banach-spaces
The dual space of normed vector space $X$ is isomorphic to the dual of its completion
August 1st, 2022
banach-spaces
functional-analysis
duality-theorems
normed-spaces
Strict subadditivity of the norm in uniformly convex Banach Spaces
August 1st, 2022
normed-spaces
functional-analysis
banach-spaces
Isometric isomorphism
August 1st, 2022
functional-analysis
banach-spaces
normed-spaces
Space of real polynomials of one variable isn't complete
August 1st, 2022
polynomials
banach-spaces
normed-spaces
Contractive composite function
October 13th, 2020
function-and-relation-composition
complete-spaces
fixed-point-theorems
banach-spaces
Nonequivalent norms on infinite-dimensional linear space
August 1st, 2022
banach-spaces
functional-analysis
Integral as a linear operator is bounded
February 11th, 2020
banach-spaces
linear-algebra
functional-analysis
Infinite dimensional normed Banach space cannot have countable basis
August 1st, 2022
real-analysis
banach-spaces
proof-explanation
baire-category
Dual space of $L^\infty$ is $L^1$ with the weak-* topology?
February 18th, 2021
banach-spaces
lp-spaces
Finite vector space V,W so is L(V,W)
August 27th, 2020
normed-spaces
banach-spaces
general-topology
linear-algebra
A subspace $Y$ of a Banach space $X$ is complete iff the set $Y$ is closed in $X$.
March 22nd, 2020
cauchy-sequences
real-analysis
banach-spaces
complete-spaces
The equivalence of norm continuous and weak continuous
April 2nd, 2020
functional-analysis
banach-spaces
How to calculate the operator norm of $f\mapsto (Af)(x) = xf(x)$
November 21st, 2020
real-analysis
normed-spaces
banach-spaces
operator-theory
$C^\infty(R^n)$ is a Banach Space when equipped with topology of uniform convergence
August 1st, 2022
convergence-divergence
functional-analysis
topological-vector-spaces
banach-spaces
Show that this linear operator is surjective
September 7th, 2020
operator-theory
functional-analysis
banach-spaces
Extension of a linear operator
June 18th, 2020
banach-spaces
operator-theory
functional-analysis
Continuous operator between Banach spaces, closed range
August 1st, 2022
banach-spaces
operator-theory
functional-analysis
Is $C_0(\mathbb{R})$ a Banach space?
August 1st, 2022
functional-analysis
banach-spaces
uniform-continuity
Supremum outside or inside an integral
February 19th, 2020
functional-analysis
real-analysis
integration
banach-spaces
supremum-and-infimum
Banach space of continuously differentiable function on $\Omega \subset \mathbb{R}^n$
August 1st, 2022
multivariable-calculus
derivatives
continuity
frechet-derivative
banach-spaces
Strictly convex Inequality in $l^p$
August 1st, 2022
banach-spaces
functional-analysis
Proof of existence of Schauder basis for $L^p(\Omega)$?
July 12th, 2020
banach-spaces
reference-request
lp-spaces
functional-analysis
Is Limit and Norm interchangable in Banach Spaces
April 8th, 2020
banach-spaces
Closed linear operator on Banach spaces.
August 1st, 2022
banach-spaces
functional-analysis
closed-graph
Showing that $C[0,1]$ is not complete
April 13th, 2020
functional-analysis
banach-spaces
cauchy-sequences
convergence-divergence
Сlosed, complete and total subsets
August 1st, 2022
fourier-analysis
hilbert-spaces
banach-spaces
functional-analysis
Proving that the sequence space $l^1$ is complete
August 1st, 2022
lp-spaces
complete-spaces
sequences-and-series
functional-analysis
banach-spaces
Using Neumann series to compute $T^{-1}$
August 1st, 2022
functional-analysis
matrices
banach-spaces
Bounded linear transformation
August 1st, 2022
functional-analysis
banach-spaces
A relatively bounded perturbation of a closed operator is a closed operator.
August 1st, 2022
operator-theory
banach-spaces
perturbation-theory
functional-analysis
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