RUS
ENG
Full version
SEMINARS
Algebras in Analysis
December 13, 2019
18:05
, Moscow, Lomonosov Moscow State University, room 13-20.
The
$p$
-convexity functor and maximal
$L_p(X)$
-norms
N. V. Volosova
Abstract:
We describe a construction which transforms any
$L_p(X)$
-norm on a normed space
$E$
into a
$p$
-convex one. Applying this construction to the projective tensor norm gives an explicit formula for the maximal
$p$
-convex
$L_p(X)$
-norm on
$E$
.
©
Steklov Math. Inst. of RAS
, 2026