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New posts in banach-spaces
Compact operators on an infinite dimensional Banach space cannot be surjective
functional-analysis
operator-theory
banach-spaces
compact-operators
Linear functional on a Banach space is discontinuous then its nullspace is dense.
functional-analysis
banach-spaces
Show that $\liminf_{n\to \infty}x_{n}\le\alpha(x)\le\limsup_{n\to\infty}x_{n}$ for $x=(x_{n})$ in $\ell^{\infty}$
functional-analysis
banach-spaces
Compact operator maps weakly convergent sequences into strongly convergent sequences
functional-analysis
banach-spaces
Sum of the sets in a Banach space
banach-spaces
Norm for pointwise convergence
real-analysis
functional-analysis
banach-spaces
Is $\overline{T(\overline{B_X})} = \overline{T(B_X)}$?
functional-analysis
banach-spaces
A Hamel basis for $\ell^p$?
functional-analysis
banach-spaces
lp-spaces
axiom-of-choice
hamel-basis
At most finitely many (Hamel) coordinate functionals are continuous - different proof
functional-analysis
banach-spaces
Isometric Embedding of a separable Banach Space into $\ell^{\infty}$
analysis
functional-analysis
banach-spaces
Are the coordinate functions of a Hamel basis for an infinite dimensional Banach space discontinuous?
functional-analysis
banach-spaces
Weak-to-weak continuous operator which is not norm-continuous
functional-analysis
banach-spaces
Banach Spaces - How can $B,B',B'', B''', B'''',B''''',\ldots$ behave?
functional-analysis
banach-spaces
normed-spaces
When is the image of a linear operator closed?
functional-analysis
banach-spaces
If $1\leq p < \infty$ then show that $L^p([0,1])$ and $\ell_p$ are not topologically isomorphic
functional-analysis
banach-spaces
lp-spaces
Prove that $C^1([a,b])$ with the $C^1$- norm is a Banach Space
analysis
functional-analysis
continuity
banach-spaces
On the norm of a quotient of a Banach space.
functional-analysis
banach-spaces
normed-spaces
quotient-spaces
T is finite rank operator represent [closed]
functional-analysis
operator-theory
banach-spaces
Examples of incomplete normed spaces of continuous linear maps between two normed spaces [duplicate]
real-analysis
functional-analysis
banach-spaces
How to show that quotient space $X/Y$ is complete when $X$ is Banach space, and $Y$ is a closed subspace of $X$?
functional-analysis
vector-spaces
banach-spaces
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