Open AccessGeometry of multilinear forms on l_1
Author(s) -
Sung Guen Kim
Publication year - 2021
Publication title -
acta et commentationes universitatis tartuensis de mathematica./acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2021.25.04
Subject(s) - multilinear map , banach space , subspace topology , mathematics , geometry , space (punctuation) , linear subspace , pure mathematics , combinatorics , mathematical analysis , computer science , operating system
We characterize extreme, exposed and smooth points in the Banach space L(nE) of continuous n-linear forms on E, and in its subspace Ls(nE) of symmetric n-linear forms on E when E = l1 and E = l1m for n,m ∈ N with n,m ≥ 2 .