New posts in Banach Spaces

Trouble with the proof of Proposition 4.3.18 of Pedersen's Analysis Now

In a Banach space, can there be a closed subspace which does not have a closed complement?

How to prove a norm identity for a Banach space and its dual

Banach-Alaoglu Theorem over spherically complete non-Archimedean fields

Can this complete metric space be a Banach space?

Convolution must be a bounded bilinear operator if it is well-defined

Completitude of $L^1[0,1]\cap L^2[0,1]$ with the maximumm norm

Is it true that every Banach space has Bolzano Weierstrass property?

Covering a set with $N$ balls of common minimal(!) radius (Existence of such a covering)

If $T:L^p[0,1] \to L^p[0,1]$ bounded for $1 < p < \infty$ with continuous image, then it's compact