On Extensions of Bilinear Maps
Functional Analysis
2022-08-15 v2
Abstract
The paper deals with extension of bounded bilinear maps It gives a necessary and sufficient condition for extending a bounded bilinear map on the Cartesian product of subspaces of Banach spaces This leads to a full characterization for extension of bounded bilinear maps on the Cartesian product of arbitrary subspaces of Hilbert spaces Applications concerning projective tensor products are also investigated.
Cite
@article{arxiv.2110.03102,
title = {On Extensions of Bilinear Maps},
author = {C. S. Kubrusly},
journal= {arXiv preprint arXiv:2110.03102},
year = {2022}
}