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New posts in Banach Spaces
Why doesn't $c_0$ admit a complement in $l^\infty$?
May 03, 2021
Prove that $(l^\infty,\|.\|_\infty)$ is a Banach space.
May 03, 2021
Proving that a Banach space is separable if its dual is separable
May 03, 2021
Prove : If $\sum_na_nb_n$ converges whenever $\sum b_n^2 \lt \infty,$ then $\sum a_n^2<\infty$
May 03, 2021
(Reference Request) Calculus on Banach Spaces
May 02, 2021
Showing $T$ is continuous.
May 02, 2021
Prove the dual space of $l^p$ is isomorphic to $l^q$ if $\frac{1}{q}+\frac{1}{p}=1$
May 02, 2021
Does the union of two not disjoint open balls always contain the line connecting the two centers?
Apr 30, 2021
What is the Relationship between a Closed Map and a Closed Linear Operator?
Apr 30, 2021
Every bounded sequence of dual space contains a subsequence which is weak* convergent
Apr 30, 2021
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